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Finding the Fourth Proportional to 231.47, 345.42 and 207.17

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Solution

The fourth proportional to 231.47, 345.42 and 207.17 is: 309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 345.42 = 207.17 : x
  2. Step 2: Convert to fraction form
    231.47/345.42 = 207.17/x
  3. Step 3: Cross multiply
    231.47x = 345.42 × 207.17
  4. Step 4: Simplify right side
    231.47x = 71,560.66
  5. Step 5: Solve for x
    x = 71,560.66/231.47
  6. Step 6: Final answer
    x = 309.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.