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Finding the Fourth Proportional to 318.18, 476.94 and 153.55

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Solution

The fourth proportional to 318.18, 476.94 and 153.55 is: 230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.18 : 476.94 = 153.55 : x
  2. Step 2: Convert to fraction form
    318.18/476.94 = 153.55/x
  3. Step 3: Cross multiply
    318.18x = 476.94 × 153.55
  4. Step 4: Simplify right side
    318.18x = 73,231.76
  5. Step 5: Solve for x
    x = 73,231.76/318.18
  6. Step 6: Final answer
    x = 230.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.