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Finding the Fourth Proportional to 466.67, 700.05 and 174.14

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Solution

The fourth proportional to 466.67, 700.05 and 174.14 is: 261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.67 : 700.05 = 174.14 : x
  2. Step 2: Convert to fraction form
    466.67/700.05 = 174.14/x
  3. Step 3: Cross multiply
    466.67x = 700.05 × 174.14
  4. Step 4: Simplify right side
    466.67x = 121,903.21
  5. Step 5: Solve for x
    x = 121,903.21/466.67
  6. Step 6: Final answer
    x = 261.22

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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.