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Finding the Fourth Proportional to 200.24, 276.32 and 117.36

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Solution

The fourth proportional to 200.24, 276.32 and 117.36 is: 161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 276.32 = 117.36 : x
  2. Step 2: Convert to fraction form
    200.24/276.32 = 117.36/x
  3. Step 3: Cross multiply
    200.24x = 276.32 × 117.36
  4. Step 4: Simplify right side
    200.24x = 32,428.92
  5. Step 5: Solve for x
    x = 32,428.92/200.24
  6. Step 6: Final answer
    x = 161.95

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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.