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Finding the Fourth Proportional to 654.04, 981.06 and 167.13

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Solution

The fourth proportional to 654.04, 981.06 and 167.13 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.04 : 981.06 = 167.13 : x
  2. Step 2: Convert to fraction form
    654.04/981.06 = 167.13/x
  3. Step 3: Cross multiply
    654.04x = 981.06 × 167.13
  4. Step 4: Simplify right side
    654.04x = 163,964.56
  5. Step 5: Solve for x
    x = 163,964.56/654.04
  6. Step 6: Final answer
    x = 250.70

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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.