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Finding the Fourth Proportional to 200.75, 277.52 and 177.66

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Solution

The fourth proportional to 200.75, 277.52 and 177.66 is: 245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 277.52 = 177.66 : x
  2. Step 2: Convert to fraction form
    200.75/277.52 = 177.66/x
  3. Step 3: Cross multiply
    200.75x = 277.52 × 177.66
  4. Step 4: Simplify right side
    200.75x = 49,303.31
  5. Step 5: Solve for x
    x = 49,303.31/200.75
  6. Step 6: Final answer
    x = 245.60

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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.