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Finding the Fourth Proportional to 152.91, 228.82 and 116.55

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Solution

The fourth proportional to 152.91, 228.82 and 116.55 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.91 : 228.82 = 116.55 : x
  2. Step 2: Convert to fraction form
    152.91/228.82 = 116.55/x
  3. Step 3: Cross multiply
    152.91x = 228.82 × 116.55
  4. Step 4: Simplify right side
    152.91x = 26,667.54
  5. Step 5: Solve for x
    x = 26,667.54/152.91
  6. Step 6: Final answer
    x = 174.41

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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.