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Finding the Fourth Proportional to 466.19, 699.29 and 177.63

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Solution

The fourth proportional to 466.19, 699.29 and 177.63 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.19 : 699.29 = 177.63 : x
  2. Step 2: Convert to fraction form
    466.19/699.29 = 177.63/x
  3. Step 3: Cross multiply
    466.19x = 699.29 × 177.63
  4. Step 4: Simplify right side
    466.19x = 124,215.33
  5. Step 5: Solve for x
    x = 124,215.33/466.19
  6. Step 6: Final answer
    x = 266.45

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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.