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Finding the Fourth Proportional to 151.68, 228.59 and 142.56

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Solution

The fourth proportional to 151.68, 228.59 and 142.56 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 228.59 = 142.56 : x
  2. Step 2: Convert to fraction form
    151.68/228.59 = 142.56/x
  3. Step 3: Cross multiply
    151.68x = 228.59 × 142.56
  4. Step 4: Simplify right side
    151.68x = 32,587.08
  5. Step 5: Solve for x
    x = 32,587.08/151.68
  6. Step 6: Final answer
    x = 214.84

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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.