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Finding the Fourth Proportional to 215.78, 322.80 and 181.82

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Solution

The fourth proportional to 215.78, 322.80 and 181.82 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 322.80 = 181.82 : x
  2. Step 2: Convert to fraction form
    215.78/322.80 = 181.82/x
  3. Step 3: Cross multiply
    215.78x = 322.80 × 181.82
  4. Step 4: Simplify right side
    215.78x = 58,691.50
  5. Step 5: Solve for x
    x = 58,691.50/215.78
  6. Step 6: Final answer
    x = 272.00

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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.