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Finding the Fourth Proportional to 345.13, 516.54 and 242.17

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Solution

The fourth proportional to 345.13, 516.54 and 242.17 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.13 : 516.54 = 242.17 : x
  2. Step 2: Convert to fraction form
    345.13/516.54 = 242.17/x
  3. Step 3: Cross multiply
    345.13x = 516.54 × 242.17
  4. Step 4: Simplify right side
    345.13x = 125,090.49
  5. Step 5: Solve for x
    x = 125,090.49/345.13
  6. Step 6: Final answer
    x = 362.44

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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.