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Finding the Fourth Proportional to 758.19, 1,137.15 and 210.22

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Solution

The fourth proportional to 758.19, 1,137.15 and 210.22 is: 315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.19 : 1,137.15 = 210.22 : x
  2. Step 2: Convert to fraction form
    758.19/1,137.15 = 210.22/x
  3. Step 3: Cross multiply
    758.19x = 1,137.15 × 210.22
  4. Step 4: Simplify right side
    758.19x = 239,051.67
  5. Step 5: Solve for x
    x = 239,051.67/758.19
  6. Step 6: Final answer
    x = 315.29

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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.