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Finding the Fourth Proportional to 292.14, 437.13 and 227.34

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Solution

The fourth proportional to 292.14, 437.13 and 227.34 is: 340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 437.13 = 227.34 : x
  2. Step 2: Convert to fraction form
    292.14/437.13 = 227.34/x
  3. Step 3: Cross multiply
    292.14x = 437.13 × 227.34
  4. Step 4: Simplify right side
    292.14x = 99,377.13
  5. Step 5: Solve for x
    x = 99,377.13/292.14
  6. Step 6: Final answer
    x = 340.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.