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Finding the Fourth Proportional to 147.36, 201.86 and 142.72

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Solution

The fourth proportional to 147.36, 201.86 and 142.72 is: 195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 201.86 = 142.72 : x
  2. Step 2: Convert to fraction form
    147.36/201.86 = 142.72/x
  3. Step 3: Cross multiply
    147.36x = 201.86 × 142.72
  4. Step 4: Simplify right side
    147.36x = 28,809.46
  5. Step 5: Solve for x
    x = 28,809.46/147.36
  6. Step 6: Final answer
    x = 195.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.