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Finding the Fourth Proportional to 215.44, 322.74 and 107.10

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Solution

The fourth proportional to 215.44, 322.74 and 107.10 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 322.74 = 107.10 : x
  2. Step 2: Convert to fraction form
    215.44/322.74 = 107.10/x
  3. Step 3: Cross multiply
    215.44x = 322.74 × 107.10
  4. Step 4: Simplify right side
    215.44x = 34,565.45
  5. Step 5: Solve for x
    x = 34,565.45/215.44
  6. Step 6: Final answer
    x = 160.44

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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.