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Finding the Fourth Proportional to 146.08, 218.76 and 117

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Solution

The fourth proportional to 146.08, 218.76 and 117 is: 175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.08 : 218.76 = 117 : x
  2. Step 2: Convert to fraction form
    146.08/218.76 = 117/x
  3. Step 3: Cross multiply
    146.08x = 218.76 × 117
  4. Step 4: Simplify right side
    146.08x = 25,594.92
  5. Step 5: Solve for x
    x = 25,594.92/146.08
  6. Step 6: Final answer
    x = 175.21

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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.