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Finding the Fourth Proportional to 179.83, 269.74 and 58.10

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Solution

The fourth proportional to 179.83, 269.74 and 58.10 is: 87.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.83 : 269.74 = 58.10 : x
  2. Step 2: Convert to fraction form
    179.83/269.74 = 58.10/x
  3. Step 3: Cross multiply
    179.83x = 269.74 × 58.10
  4. Step 4: Simplify right side
    179.83x = 15,671.89
  5. Step 5: Solve for x
    x = 15,671.89/179.83
  6. Step 6: Final answer
    x = 87.15

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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.