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Finding the Fourth Proportional to 179.80, 268.59 and 143.76

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Solution

The fourth proportional to 179.80, 268.59 and 143.76 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.80 : 268.59 = 143.76 : x
  2. Step 2: Convert to fraction form
    179.80/268.59 = 143.76/x
  3. Step 3: Cross multiply
    179.80x = 268.59 × 143.76
  4. Step 4: Simplify right side
    179.80x = 38,612.50
  5. Step 5: Solve for x
    x = 38,612.50/179.80
  6. Step 6: Final answer
    x = 214.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.