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Finding the Fourth Proportional to 653.88, 980.80 and 166.93

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Solution

The fourth proportional to 653.88, 980.80 and 166.93 is: 250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 980.80 = 166.93 : x
  2. Step 2: Convert to fraction form
    653.88/980.80 = 166.93/x
  3. Step 3: Cross multiply
    653.88x = 980.80 × 166.93
  4. Step 4: Simplify right side
    653.88x = 163,724.94
  5. Step 5: Solve for x
    x = 163,724.94/653.88
  6. Step 6: Final answer
    x = 250.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.