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Finding the Fourth Proportional to 215.04, 322.54 and 106.86

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Solution

The fourth proportional to 215.04, 322.54 and 106.86 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.04 : 322.54 = 106.86 : x
  2. Step 2: Convert to fraction form
    215.04/322.54 = 106.86/x
  3. Step 3: Cross multiply
    215.04x = 322.54 × 106.86
  4. Step 4: Simplify right side
    215.04x = 34,466.62
  5. Step 5: Solve for x
    x = 34,466.62/215.04
  6. Step 6: Final answer
    x = 160.28

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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.