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Finding the Fourth Proportional to 207.93, 312.01 and 116.58

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Solution

The fourth proportional to 207.93, 312.01 and 116.58 is: 174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.93 : 312.01 = 116.58 : x
  2. Step 2: Convert to fraction form
    207.93/312.01 = 116.58/x
  3. Step 3: Cross multiply
    207.93x = 312.01 × 116.58
  4. Step 4: Simplify right side
    207.93x = 36,374.13
  5. Step 5: Solve for x
    x = 36,374.13/207.93
  6. Step 6: Final answer
    x = 174.93

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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.