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Finding the Fourth Proportional to 150.04, 206.80 and 118.81

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Solution

The fourth proportional to 150.04, 206.80 and 118.81 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.04 : 206.80 = 118.81 : x
  2. Step 2: Convert to fraction form
    150.04/206.80 = 118.81/x
  3. Step 3: Cross multiply
    150.04x = 206.80 × 118.81
  4. Step 4: Simplify right side
    150.04x = 24,569.91
  5. Step 5: Solve for x
    x = 24,569.91/150.04
  6. Step 6: Final answer
    x = 163.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.