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Finding the Fourth Proportional to 150.30, 225.36 and 101.52

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Solution

The fourth proportional to 150.30, 225.36 and 101.52 is: 152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 225.36 = 101.52 : x
  2. Step 2: Convert to fraction form
    150.30/225.36 = 101.52/x
  3. Step 3: Cross multiply
    150.30x = 225.36 × 101.52
  4. Step 4: Simplify right side
    150.30x = 22,878.55
  5. Step 5: Solve for x
    x = 22,878.55/150.30
  6. Step 6: Final answer
    x = 152.22

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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.