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Finding the Fourth Proportional to 152.55, 227.25 and 148.95

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Solution

The fourth proportional to 152.55, 227.25 and 148.95 is: 221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.55 : 227.25 = 148.95 : x
  2. Step 2: Convert to fraction form
    152.55/227.25 = 148.95/x
  3. Step 3: Cross multiply
    152.55x = 227.25 × 148.95
  4. Step 4: Simplify right side
    152.55x = 33,848.89
  5. Step 5: Solve for x
    x = 33,848.89/152.55
  6. Step 6: Final answer
    x = 221.89

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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.