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Finding the Fourth Proportional to 317.77, 438.35 and 199.71

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Solution

The fourth proportional to 317.77, 438.35 and 199.71 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.77 : 438.35 = 199.71 : x
  2. Step 2: Convert to fraction form
    317.77/438.35 = 199.71/x
  3. Step 3: Cross multiply
    317.77x = 438.35 × 199.71
  4. Step 4: Simplify right side
    317.77x = 87,544.47
  5. Step 5: Solve for x
    x = 87,544.47/317.77
  6. Step 6: Final answer
    x = 275.50

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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.