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Finding the Fourth Proportional to 152.38, 228.84 and 98.38

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Solution

The fourth proportional to 152.38, 228.84 and 98.38 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 228.84 = 98.38 : x
  2. Step 2: Convert to fraction form
    152.38/228.84 = 98.38/x
  3. Step 3: Cross multiply
    152.38x = 228.84 × 98.38
  4. Step 4: Simplify right side
    152.38x = 22,513.28
  5. Step 5: Solve for x
    x = 22,513.28/152.38
  6. Step 6: Final answer
    x = 147.74

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