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Finding the Fourth Proportional to 305.71, 458.53 and 100.28

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Solution

The fourth proportional to 305.71, 458.53 and 100.28 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.71 : 458.53 = 100.28 : x
  2. Step 2: Convert to fraction form
    305.71/458.53 = 100.28/x
  3. Step 3: Cross multiply
    305.71x = 458.53 × 100.28
  4. Step 4: Simplify right side
    305.71x = 45,981.39
  5. Step 5: Solve for x
    x = 45,981.39/305.71
  6. Step 6: Final answer
    x = 150.41

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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.