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Finding the Fourth Proportional to 208.60, 312.72 and 117.28

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Solution

The fourth proportional to 208.60, 312.72 and 117.28 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.60 : 312.72 = 117.28 : x
  2. Step 2: Convert to fraction form
    208.60/312.72 = 117.28/x
  3. Step 3: Cross multiply
    208.60x = 312.72 × 117.28
  4. Step 4: Simplify right side
    208.60x = 36,675.80
  5. Step 5: Solve for x
    x = 36,675.80/208.60
  6. Step 6: Final answer
    x = 175.82

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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.