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Finding the Fourth Proportional to 429.04, 642.95 and 181.97

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Solution

The fourth proportional to 429.04, 642.95 and 181.97 is: 272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.04 : 642.95 = 181.97 : x
  2. Step 2: Convert to fraction form
    429.04/642.95 = 181.97/x
  3. Step 3: Cross multiply
    429.04x = 642.95 × 181.97
  4. Step 4: Simplify right side
    429.04x = 116,997.61
  5. Step 5: Solve for x
    x = 116,997.61/429.04
  6. Step 6: Final answer
    x = 272.70

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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.