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Finding the Fourth Proportional to 143.10, 207.14 and 143.10

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Solution

The fourth proportional to 143.10, 207.14 and 143.10 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.10 : 207.14 = 143.10 : x
  2. Step 2: Convert to fraction form
    143.10/207.14 = 143.10/x
  3. Step 3: Cross multiply
    143.10x = 207.14 × 143.10
  4. Step 4: Simplify right side
    143.10x = 29,641.02
  5. Step 5: Solve for x
    x = 29,641.02/143.10
  6. Step 6: Final answer
    x = 207.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.