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Finding the Fourth Proportional to 407.14, 610.66 and 118.58

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Solution

The fourth proportional to 407.14, 610.66 and 118.58 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 610.66 = 118.58 : x
  2. Step 2: Convert to fraction form
    407.14/610.66 = 118.58/x
  3. Step 3: Cross multiply
    407.14x = 610.66 × 118.58
  4. Step 4: Simplify right side
    407.14x = 72,409.01
  5. Step 5: Solve for x
    x = 72,409.01/407.14
  6. Step 6: Final answer
    x = 177.85

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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.