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Finding the Fourth Proportional to 215.48, 322.65 and 180.98

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Solution

The fourth proportional to 215.48, 322.65 and 180.98 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.48 : 322.65 = 180.98 : x
  2. Step 2: Convert to fraction form
    215.48/322.65 = 180.98/x
  3. Step 3: Cross multiply
    215.48x = 322.65 × 180.98
  4. Step 4: Simplify right side
    215.48x = 58,393.20
  5. Step 5: Solve for x
    x = 58,393.20/215.48
  6. Step 6: Final answer
    x = 270.99

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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.