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Finding the Fourth Proportional to 178.68, 268.02 and 142.86

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Solution

The fourth proportional to 178.68, 268.02 and 142.86 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.68 : 268.02 = 142.86 : x
  2. Step 2: Convert to fraction form
    178.68/268.02 = 142.86/x
  3. Step 3: Cross multiply
    178.68x = 268.02 × 142.86
  4. Step 4: Simplify right side
    178.68x = 38,289.34
  5. Step 5: Solve for x
    x = 38,289.34/178.68
  6. Step 6: Final answer
    x = 214.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.