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Finding the Fourth Proportional to 466.25, 699.38 and 177.89

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Solution

The fourth proportional to 466.25, 699.38 and 177.89 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.25 : 699.38 = 177.89 : x
  2. Step 2: Convert to fraction form
    466.25/699.38 = 177.89/x
  3. Step 3: Cross multiply
    466.25x = 699.38 × 177.89
  4. Step 4: Simplify right side
    466.25x = 124,411.82
  5. Step 5: Solve for x
    x = 124,411.82/466.25
  6. Step 6: Final answer
    x = 266.84

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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.