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Finding the Fourth Proportional to 178.71, 266.69 and 177.36

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Solution

The fourth proportional to 178.71, 266.69 and 177.36 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.71 : 266.69 = 177.36 : x
  2. Step 2: Convert to fraction form
    178.71/266.69 = 177.36/x
  3. Step 3: Cross multiply
    178.71x = 266.69 × 177.36
  4. Step 4: Simplify right side
    178.71x = 47,299.25
  5. Step 5: Solve for x
    x = 47,299.25/178.71
  6. Step 6: Final answer
    x = 264.67

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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.