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Finding the Fourth Proportional to 206.88, 310.35 and 91.32

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Solution

The fourth proportional to 206.88, 310.35 and 91.32 is: 136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 310.35 = 91.32 : x
  2. Step 2: Convert to fraction form
    206.88/310.35 = 91.32/x
  3. Step 3: Cross multiply
    206.88x = 310.35 × 91.32
  4. Step 4: Simplify right side
    206.88x = 28,341.16
  5. Step 5: Solve for x
    x = 28,341.16/206.88
  6. Step 6: Final answer
    x = 136.99

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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.