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Finding the Fourth Proportional to 305.46, 458.15 and 100.17

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Solution

The fourth proportional to 305.46, 458.15 and 100.17 is: 150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 458.15 = 100.17 : x
  2. Step 2: Convert to fraction form
    305.46/458.15 = 100.17/x
  3. Step 3: Cross multiply
    305.46x = 458.15 × 100.17
  4. Step 4: Simplify right side
    305.46x = 45,892.38
  5. Step 5: Solve for x
    x = 45,892.38/305.46
  6. Step 6: Final answer
    x = 150.24

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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.