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Finding the Fourth Proportional to 150.29, 224.95 and 101.93

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Solution

The fourth proportional to 150.29, 224.95 and 101.93 is: 152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 224.95 = 101.93 : x
  2. Step 2: Convert to fraction form
    150.29/224.95 = 101.93/x
  3. Step 3: Cross multiply
    150.29x = 224.95 × 101.93
  4. Step 4: Simplify right side
    150.29x = 22,929.15
  5. Step 5: Solve for x
    x = 22,929.15/150.29
  6. Step 6: Final answer
    x = 152.57

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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.