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Finding the Fourth Proportional to 152.52, 227.55 and 148.34

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Solution

The fourth proportional to 152.52, 227.55 and 148.34 is: 221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 227.55 = 148.34 : x
  2. Step 2: Convert to fraction form
    152.52/227.55 = 148.34/x
  3. Step 3: Cross multiply
    152.52x = 227.55 × 148.34
  4. Step 4: Simplify right side
    152.52x = 33,753.63
  5. Step 5: Solve for x
    x = 33,753.63/152.52
  6. Step 6: Final answer
    x = 221.31

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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.