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Finding the Fourth Proportional to 653.65, 980.49 and 166.70

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Solution

The fourth proportional to 653.65, 980.49 and 166.70 is: 250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.65 : 980.49 = 166.70 : x
  2. Step 2: Convert to fraction form
    653.65/980.49 = 166.70/x
  3. Step 3: Cross multiply
    653.65x = 980.49 × 166.70
  4. Step 4: Simplify right side
    653.65x = 163,451.35
  5. Step 5: Solve for x
    x = 163,451.35/653.65
  6. Step 6: Final answer
    x = 250.06

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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.