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Finding the Fourth Proportional to 152.67, 227.61 and 147.90

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Solution

The fourth proportional to 152.67, 227.61 and 147.90 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.67 : 227.61 = 147.90 : x
  2. Step 2: Convert to fraction form
    152.67/227.61 = 147.90/x
  3. Step 3: Cross multiply
    152.67x = 227.61 × 147.90
  4. Step 4: Simplify right side
    152.67x = 33,663.52
  5. Step 5: Solve for x
    x = 33,663.52/152.67
  6. Step 6: Final answer
    x = 220.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.