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Finding the Fourth Proportional to 305.54, 458.39 and 100.13

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Solution

The fourth proportional to 305.54, 458.39 and 100.13 is: 150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 458.39 = 100.13 : x
  2. Step 2: Convert to fraction form
    305.54/458.39 = 100.13/x
  3. Step 3: Cross multiply
    305.54x = 458.39 × 100.13
  4. Step 4: Simplify right side
    305.54x = 45,899.24
  5. Step 5: Solve for x
    x = 45,899.24/305.54
  6. Step 6: Final answer
    x = 150.22

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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.