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Finding the Fourth Proportional to 151.85, 228.29 and 140.57

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Solution

The fourth proportional to 151.85, 228.29 and 140.57 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 228.29 = 140.57 : x
  2. Step 2: Convert to fraction form
    151.85/228.29 = 140.57/x
  3. Step 3: Cross multiply
    151.85x = 228.29 × 140.57
  4. Step 4: Simplify right side
    151.85x = 32,088.88
  5. Step 5: Solve for x
    x = 32,088.88/151.85
  6. Step 6: Final answer
    x = 211.33

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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.