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Finding the Fourth Proportional to 147.76, 204 and 138.08

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Solution

The fourth proportional to 147.76, 204 and 138.08 is: 190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.76 : 204 = 138.08 : x
  2. Step 2: Convert to fraction form
    147.76/204 = 138.08/x
  3. Step 3: Cross multiply
    147.76x = 204 × 138.08
  4. Step 4: Simplify right side
    147.76x = 28,168.32
  5. Step 5: Solve for x
    x = 28,168.32/147.76
  6. Step 6: Final answer
    x = 190.64

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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.