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Finding the Fourth Proportional to 310.91, 429 and 179.89

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Solution

The fourth proportional to 310.91, 429 and 179.89 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.91 : 429 = 179.89 : x
  2. Step 2: Convert to fraction form
    310.91/429 = 179.89/x
  3. Step 3: Cross multiply
    310.91x = 429 × 179.89
  4. Step 4: Simplify right side
    310.91x = 77,172.81
  5. Step 5: Solve for x
    x = 77,172.81/310.91
  6. Step 6: Final answer
    x = 248.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.