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Finding the Fourth Proportional to 179.78, 269.70 and 58.08

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Solution

The fourth proportional to 179.78, 269.70 and 58.08 is: 87.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 269.70 = 58.08 : x
  2. Step 2: Convert to fraction form
    179.78/269.70 = 58.08/x
  3. Step 3: Cross multiply
    179.78x = 269.70 × 58.08
  4. Step 4: Simplify right side
    179.78x = 15,664.18
  5. Step 5: Solve for x
    x = 15,664.18/179.78
  6. Step 6: Final answer
    x = 87.13

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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.