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Finding the Fourth Proportional to 150.52, 225.86 and 65

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Solution

The fourth proportional to 150.52, 225.86 and 65 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 225.86 = 65 : x
  2. Step 2: Convert to fraction form
    150.52/225.86 = 65/x
  3. Step 3: Cross multiply
    150.52x = 225.86 × 65
  4. Step 4: Simplify right side
    150.52x = 14,680.90
  5. Step 5: Solve for x
    x = 14,680.90/150.52
  6. Step 6: Final answer
    x = 97.53

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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.