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Finding the Fourth Proportional to 466.04, 699.24 and 177.50

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Solution

The fourth proportional to 466.04, 699.24 and 177.50 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 699.24 = 177.50 : x
  2. Step 2: Convert to fraction form
    466.04/699.24 = 177.50/x
  3. Step 3: Cross multiply
    466.04x = 699.24 × 177.50
  4. Step 4: Simplify right side
    466.04x = 124,115.10
  5. Step 5: Solve for x
    x = 124,115.10/466.04
  6. Step 6: Final answer
    x = 266.32

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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.