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Finding the Fourth Proportional to 466.84, 700.17 and 178.21

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Solution

The fourth proportional to 466.84, 700.17 and 178.21 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.84 : 700.17 = 178.21 : x
  2. Step 2: Convert to fraction form
    466.84/700.17 = 178.21/x
  3. Step 3: Cross multiply
    466.84x = 700.17 × 178.21
  4. Step 4: Simplify right side
    466.84x = 124,777.30
  5. Step 5: Solve for x
    x = 124,777.30/466.84
  6. Step 6: Final answer
    x = 267.28

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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.