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Finding the Fourth Proportional to 152.38, 228.82 and 95.74

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Solution

The fourth proportional to 152.38, 228.82 and 95.74 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 228.82 = 95.74 : x
  2. Step 2: Convert to fraction form
    152.38/228.82 = 95.74/x
  3. Step 3: Cross multiply
    152.38x = 228.82 × 95.74
  4. Step 4: Simplify right side
    152.38x = 21,907.23
  5. Step 5: Solve for x
    x = 21,907.23/152.38
  6. Step 6: Final answer
    x = 143.77

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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.