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Finding the Fourth Proportional to 193.52, 266.96 and 128.00

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Solution

The fourth proportional to 193.52, 266.96 and 128.00 is: 176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.52 : 266.96 = 128.00 : x
  2. Step 2: Convert to fraction form
    193.52/266.96 = 128.00/x
  3. Step 3: Cross multiply
    193.52x = 266.96 × 128.00
  4. Step 4: Simplify right side
    193.52x = 34,168.91
  5. Step 5: Solve for x
    x = 34,168.91/193.52
  6. Step 6: Final answer
    x = 176.57

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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.