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Finding the Fourth Proportional to 467.03, 700.58 and 178.47

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Solution

The fourth proportional to 467.03, 700.58 and 178.47 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.03 : 700.58 = 178.47 : x
  2. Step 2: Convert to fraction form
    467.03/700.58 = 178.47/x
  3. Step 3: Cross multiply
    467.03x = 700.58 × 178.47
  4. Step 4: Simplify right side
    467.03x = 125,032.96
  5. Step 5: Solve for x
    x = 125,032.96/467.03
  6. Step 6: Final answer
    x = 267.72

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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.