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Finding the Fourth Proportional to 176.77, 264.99 and 74.02

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Solution

The fourth proportional to 176.77, 264.99 and 74.02 is: 110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 264.99 = 74.02 : x
  2. Step 2: Convert to fraction form
    176.77/264.99 = 74.02/x
  3. Step 3: Cross multiply
    176.77x = 264.99 × 74.02
  4. Step 4: Simplify right side
    176.77x = 19,614.56
  5. Step 5: Solve for x
    x = 19,614.56/176.77
  6. Step 6: Final answer
    x = 110.96

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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.