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Finding the Fourth Proportional to 268.51, 402.76 and 177.78

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Solution

The fourth proportional to 268.51, 402.76 and 177.78 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.51 : 402.76 = 177.78 : x
  2. Step 2: Convert to fraction form
    268.51/402.76 = 177.78/x
  3. Step 3: Cross multiply
    268.51x = 402.76 × 177.78
  4. Step 4: Simplify right side
    268.51x = 71,601.22
  5. Step 5: Solve for x
    x = 71,601.22/268.51
  6. Step 6: Final answer
    x = 266.67

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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.