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Finding the Fourth Proportional to 758.26, 1,137.21 and 210.50

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Solution

The fourth proportional to 758.26, 1,137.21 and 210.50 is: 315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.26 : 1,137.21 = 210.50 : x
  2. Step 2: Convert to fraction form
    758.26/1,137.21 = 210.50/x
  3. Step 3: Cross multiply
    758.26x = 1,137.21 × 210.50
  4. Step 4: Simplify right side
    758.26x = 239,382.71
  5. Step 5: Solve for x
    x = 239,382.71/758.26
  6. Step 6: Final answer
    x = 315.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.