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Finding the Fourth Proportional to 466.52, 699.82 and 174.10

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Solution

The fourth proportional to 466.52, 699.82 and 174.10 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 699.82 = 174.10 : x
  2. Step 2: Convert to fraction form
    466.52/699.82 = 174.10/x
  3. Step 3: Cross multiply
    466.52x = 699.82 × 174.10
  4. Step 4: Simplify right side
    466.52x = 121,838.66
  5. Step 5: Solve for x
    x = 121,838.66/466.52
  6. Step 6: Final answer
    x = 261.16

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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.