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Finding the Fourth Proportional to 345.92, 477.18 and 214.70

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Solution

The fourth proportional to 345.92, 477.18 and 214.70 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 477.18 = 214.70 : x
  2. Step 2: Convert to fraction form
    345.92/477.18 = 214.70/x
  3. Step 3: Cross multiply
    345.92x = 477.18 × 214.70
  4. Step 4: Simplify right side
    345.92x = 102,448.16
  5. Step 5: Solve for x
    x = 102,448.16/345.92
  6. Step 6: Final answer
    x = 296.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.