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Finding the Fourth Proportional to 191.62, 265.35 and 178.66

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Solution

The fourth proportional to 191.62, 265.35 and 178.66 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.62 : 265.35 = 178.66 : x
  2. Step 2: Convert to fraction form
    191.62/265.35 = 178.66/x
  3. Step 3: Cross multiply
    191.62x = 265.35 × 178.66
  4. Step 4: Simplify right side
    191.62x = 47,407.43
  5. Step 5: Solve for x
    x = 47,407.43/191.62
  6. Step 6: Final answer
    x = 247.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.