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Finding the Fourth Proportional to 466.56, 699.64 and 173.95

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Solution

The fourth proportional to 466.56, 699.64 and 173.95 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.56 : 699.64 = 173.95 : x
  2. Step 2: Convert to fraction form
    466.56/699.64 = 173.95/x
  3. Step 3: Cross multiply
    466.56x = 699.64 × 173.95
  4. Step 4: Simplify right side
    466.56x = 121,700.19
  5. Step 5: Solve for x
    x = 121,700.19/466.56
  6. Step 6: Final answer
    x = 260.85

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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.