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Finding the Fourth Proportional to 317.29, 437.82 and 192.98

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Solution

The fourth proportional to 317.29, 437.82 and 192.98 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.29 : 437.82 = 192.98 : x
  2. Step 2: Convert to fraction form
    317.29/437.82 = 192.98/x
  3. Step 3: Cross multiply
    317.29x = 437.82 × 192.98
  4. Step 4: Simplify right side
    317.29x = 84,490.50
  5. Step 5: Solve for x
    x = 84,490.50/317.29
  6. Step 6: Final answer
    x = 266.29

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Why These Related Problems?

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