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Finding the Fourth Proportional to 152.54, 228.39 and 98.27

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Solution

The fourth proportional to 152.54, 228.39 and 98.27 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 228.39 = 98.27 : x
  2. Step 2: Convert to fraction form
    152.54/228.39 = 98.27/x
  3. Step 3: Cross multiply
    152.54x = 228.39 × 98.27
  4. Step 4: Simplify right side
    152.54x = 22,443.89
  5. Step 5: Solve for x
    x = 22,443.89/152.54
  6. Step 6: Final answer
    x = 147.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.