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Finding the Fourth Proportional to 153.28, 228.78 and 135.06

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Solution

The fourth proportional to 153.28, 228.78 and 135.06 is: 201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.28 : 228.78 = 135.06 : x
  2. Step 2: Convert to fraction form
    153.28/228.78 = 135.06/x
  3. Step 3: Cross multiply
    153.28x = 228.78 × 135.06
  4. Step 4: Simplify right side
    153.28x = 30,899.03
  5. Step 5: Solve for x
    x = 30,899.03/153.28
  6. Step 6: Final answer
    x = 201.59

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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.