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Finding the Fourth Proportional to 174.58, 240.86 and 108.16

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Solution

The fourth proportional to 174.58, 240.86 and 108.16 is: 149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 240.86 = 108.16 : x
  2. Step 2: Convert to fraction form
    174.58/240.86 = 108.16/x
  3. Step 3: Cross multiply
    174.58x = 240.86 × 108.16
  4. Step 4: Simplify right side
    174.58x = 26,050.88
  5. Step 5: Solve for x
    x = 26,050.88/174.58
  6. Step 6: Final answer
    x = 149.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.