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Finding the Fourth Proportional to 197.04, 271.84 and 128.16

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Solution

The fourth proportional to 197.04, 271.84 and 128.16 is: 176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 271.84 = 128.16 : x
  2. Step 2: Convert to fraction form
    197.04/271.84 = 128.16/x
  3. Step 3: Cross multiply
    197.04x = 271.84 × 128.16
  4. Step 4: Simplify right side
    197.04x = 34,839.01
  5. Step 5: Solve for x
    x = 34,839.01/197.04
  6. Step 6: Final answer
    x = 176.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.