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Finding the Fourth Proportional to 372.83, 514.46 and 207.05

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Solution

The fourth proportional to 372.83, 514.46 and 207.05 is: 285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.83 : 514.46 = 207.05 : x
  2. Step 2: Convert to fraction form
    372.83/514.46 = 207.05/x
  3. Step 3: Cross multiply
    372.83x = 514.46 × 207.05
  4. Step 4: Simplify right side
    372.83x = 106,515.34
  5. Step 5: Solve for x
    x = 106,515.34/372.83
  6. Step 6: Final answer
    x = 285.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.