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Finding the Fourth Proportional to 151.68, 228.78 and 135.84

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Solution

The fourth proportional to 151.68, 228.78 and 135.84 is: 204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 228.78 = 135.84 : x
  2. Step 2: Convert to fraction form
    151.68/228.78 = 135.84/x
  3. Step 3: Cross multiply
    151.68x = 228.78 × 135.84
  4. Step 4: Simplify right side
    151.68x = 31,077.48
  5. Step 5: Solve for x
    x = 31,077.48/151.68
  6. Step 6: Final answer
    x = 204.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.