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Finding the Fourth Proportional to 317.80, 476.93 and 180.81

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Solution

The fourth proportional to 317.80, 476.93 and 180.81 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 476.93 = 180.81 : x
  2. Step 2: Convert to fraction form
    317.80/476.93 = 180.81/x
  3. Step 3: Cross multiply
    317.80x = 476.93 × 180.81
  4. Step 4: Simplify right side
    317.80x = 86,233.71
  5. Step 5: Solve for x
    x = 86,233.71/317.80
  6. Step 6: Final answer
    x = 271.35

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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.