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Finding the Fourth Proportional to 317.47, 475.29 and 180.19

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Solution

The fourth proportional to 317.47, 475.29 and 180.19 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.47 : 475.29 = 180.19 : x
  2. Step 2: Convert to fraction form
    317.47/475.29 = 180.19/x
  3. Step 3: Cross multiply
    317.47x = 475.29 × 180.19
  4. Step 4: Simplify right side
    317.47x = 85,642.51
  5. Step 5: Solve for x
    x = 85,642.51/317.47
  6. Step 6: Final answer
    x = 269.77

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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.