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Finding the Fourth Proportional to 151.89, 228.15 and 144.52

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Solution

The fourth proportional to 151.89, 228.15 and 144.52 is: 217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.89 : 228.15 = 144.52 : x
  2. Step 2: Convert to fraction form
    151.89/228.15 = 144.52/x
  3. Step 3: Cross multiply
    151.89x = 228.15 × 144.52
  4. Step 4: Simplify right side
    151.89x = 32,971.31
  5. Step 5: Solve for x
    x = 32,971.31/151.89
  6. Step 6: Final answer
    x = 217.07

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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.