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Finding the Fourth Proportional to 200.85, 277.10 and 117.89

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Solution

The fourth proportional to 200.85, 277.10 and 117.89 is: 162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 277.10 = 117.89 : x
  2. Step 2: Convert to fraction form
    200.85/277.10 = 117.89/x
  3. Step 3: Cross multiply
    200.85x = 277.10 × 117.89
  4. Step 4: Simplify right side
    200.85x = 32,666.73
  5. Step 5: Solve for x
    x = 32,666.73/200.85
  6. Step 6: Final answer
    x = 162.65

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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.