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Finding the Fourth Proportional to 291.70, 437.14 and 210.70

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Solution

The fourth proportional to 291.70, 437.14 and 210.70 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.70 : 437.14 = 210.70 : x
  2. Step 2: Convert to fraction form
    291.70/437.14 = 210.70/x
  3. Step 3: Cross multiply
    291.70x = 437.14 × 210.70
  4. Step 4: Simplify right side
    291.70x = 92,105.40
  5. Step 5: Solve for x
    x = 92,105.40/291.70
  6. Step 6: Final answer
    x = 315.75

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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.