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Finding the Fourth Proportional to 197.54, 294.76 and 177.04

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Solution

The fourth proportional to 197.54, 294.76 and 177.04 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 294.76 = 177.04 : x
  2. Step 2: Convert to fraction form
    197.54/294.76 = 177.04/x
  3. Step 3: Cross multiply
    197.54x = 294.76 × 177.04
  4. Step 4: Simplify right side
    197.54x = 52,183.13
  5. Step 5: Solve for x
    x = 52,183.13/197.54
  6. Step 6: Final answer
    x = 264.17

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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.