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Finding the Fourth Proportional to 201.78, 278.40 and 128.10

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Solution

The fourth proportional to 201.78, 278.40 and 128.10 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.78 : 278.40 = 128.10 : x
  2. Step 2: Convert to fraction form
    201.78/278.40 = 128.10/x
  3. Step 3: Cross multiply
    201.78x = 278.40 × 128.10
  4. Step 4: Simplify right side
    201.78x = 35,663.04
  5. Step 5: Solve for x
    x = 35,663.04/201.78
  6. Step 6: Final answer
    x = 176.74

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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.