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Finding the Fourth Proportional to 317.81, 476.87 and 153.42

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Solution

The fourth proportional to 317.81, 476.87 and 153.42 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.81 : 476.87 = 153.42 : x
  2. Step 2: Convert to fraction form
    317.81/476.87 = 153.42/x
  3. Step 3: Cross multiply
    317.81x = 476.87 × 153.42
  4. Step 4: Simplify right side
    317.81x = 73,158.83
  5. Step 5: Solve for x
    x = 73,158.83/317.81
  6. Step 6: Final answer
    x = 230.20

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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.