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Finding the Fourth Proportional to 242.31, 363.64 and 231.02

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Solution

The fourth proportional to 242.31, 363.64 and 231.02 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.31 : 363.64 = 231.02 : x
  2. Step 2: Convert to fraction form
    242.31/363.64 = 231.02/x
  3. Step 3: Cross multiply
    242.31x = 363.64 × 231.02
  4. Step 4: Simplify right side
    242.31x = 84,007.51
  5. Step 5: Solve for x
    x = 84,007.51/242.31
  6. Step 6: Final answer
    x = 346.70

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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.