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Finding the Fourth Proportional to 239.54, 330.47 and 152.27

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Solution

The fourth proportional to 239.54, 330.47 and 152.27 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.54 : 330.47 = 152.27 : x
  2. Step 2: Convert to fraction form
    239.54/330.47 = 152.27/x
  3. Step 3: Cross multiply
    239.54x = 330.47 × 152.27
  4. Step 4: Simplify right side
    239.54x = 50,319.40
  5. Step 5: Solve for x
    x = 50,319.40/239.54
  6. Step 6: Final answer
    x = 210.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.