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Finding the Fourth Proportional to 203.56, 304.80 and 177.76

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Solution

The fourth proportional to 203.56, 304.80 and 177.76 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.56 : 304.80 = 177.76 : x
  2. Step 2: Convert to fraction form
    203.56/304.80 = 177.76/x
  3. Step 3: Cross multiply
    203.56x = 304.80 × 177.76
  4. Step 4: Simplify right side
    203.56x = 54,181.25
  5. Step 5: Solve for x
    x = 54,181.25/203.56
  6. Step 6: Final answer
    x = 266.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.