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Finding the Fourth Proportional to 317.34, 437.71 and 192.87

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Solution

The fourth proportional to 317.34, 437.71 and 192.87 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.34 : 437.71 = 192.87 : x
  2. Step 2: Convert to fraction form
    317.34/437.71 = 192.87/x
  3. Step 3: Cross multiply
    317.34x = 437.71 × 192.87
  4. Step 4: Simplify right side
    317.34x = 84,421.13
  5. Step 5: Solve for x
    x = 84,421.13/317.34
  6. Step 6: Final answer
    x = 266.03

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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.