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Finding the Fourth Proportional to 229.68, 314.73 and 207.81

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Solution

The fourth proportional to 229.68, 314.73 and 207.81 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 314.73 = 207.81 : x
  2. Step 2: Convert to fraction form
    229.68/314.73 = 207.81/x
  3. Step 3: Cross multiply
    229.68x = 314.73 × 207.81
  4. Step 4: Simplify right side
    229.68x = 65,404.04
  5. Step 5: Solve for x
    x = 65,404.04/229.68
  6. Step 6: Final answer
    x = 284.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.