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Finding the Fourth Proportional to 317.08, 437.68 and 192.70

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Solution

The fourth proportional to 317.08, 437.68 and 192.70 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.08 : 437.68 = 192.70 : x
  2. Step 2: Convert to fraction form
    317.08/437.68 = 192.70/x
  3. Step 3: Cross multiply
    317.08x = 437.68 × 192.70
  4. Step 4: Simplify right side
    317.08x = 84,340.94
  5. Step 5: Solve for x
    x = 84,340.94/317.08
  6. Step 6: Final answer
    x = 265.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.