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Finding the Fourth Proportional to 317.98, 438.62 and 200.02

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Solution

The fourth proportional to 317.98, 438.62 and 200.02 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.98 : 438.62 = 200.02 : x
  2. Step 2: Convert to fraction form
    317.98/438.62 = 200.02/x
  3. Step 3: Cross multiply
    317.98x = 438.62 × 200.02
  4. Step 4: Simplify right side
    317.98x = 87,732.77
  5. Step 5: Solve for x
    x = 87,732.77/317.98
  6. Step 6: Final answer
    x = 275.91

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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.