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Finding the Fourth Proportional to 146.80, 219.98 and 117.80

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Solution

The fourth proportional to 146.80, 219.98 and 117.80 is: 176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 219.98 = 117.80 : x
  2. Step 2: Convert to fraction form
    146.80/219.98 = 117.80/x
  3. Step 3: Cross multiply
    146.80x = 219.98 × 117.80
  4. Step 4: Simplify right side
    146.80x = 25,913.64
  5. Step 5: Solve for x
    x = 25,913.64/146.80
  6. Step 6: Final answer
    x = 176.52

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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.