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Finding the Fourth Proportional to 203.40, 303.80 and 177.89

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Solution

The fourth proportional to 203.40, 303.80 and 177.89 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 303.80 = 177.89 : x
  2. Step 2: Convert to fraction form
    203.40/303.80 = 177.89/x
  3. Step 3: Cross multiply
    203.40x = 303.80 × 177.89
  4. Step 4: Simplify right side
    203.40x = 54,040.57
  5. Step 5: Solve for x
    x = 54,040.57/203.40
  6. Step 6: Final answer
    x = 265.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.