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Finding the Fourth Proportional to 467.34, 701.02 and 178.76

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Solution

The fourth proportional to 467.34, 701.02 and 178.76 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.34 : 701.02 = 178.76 : x
  2. Step 2: Convert to fraction form
    467.34/701.02 = 178.76/x
  3. Step 3: Cross multiply
    467.34x = 701.02 × 178.76
  4. Step 4: Simplify right side
    467.34x = 125,314.34
  5. Step 5: Solve for x
    x = 125,314.34/467.34
  6. Step 6: Final answer
    x = 268.14

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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.