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Finding the Fourth Proportional to 152.52, 227.24 and 146.37

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Solution

The fourth proportional to 152.52, 227.24 and 146.37 is: 218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 227.24 = 146.37 : x
  2. Step 2: Convert to fraction form
    152.52/227.24 = 146.37/x
  3. Step 3: Cross multiply
    152.52x = 227.24 × 146.37
  4. Step 4: Simplify right side
    152.52x = 33,261.45
  5. Step 5: Solve for x
    x = 33,261.45/152.52
  6. Step 6: Final answer
    x = 218.08

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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.