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Finding the Fourth Proportional to 138.16, 204.88 and 136.32

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Solution

The fourth proportional to 138.16, 204.88 and 136.32 is: 202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 204.88 = 136.32 : x
  2. Step 2: Convert to fraction form
    138.16/204.88 = 136.32/x
  3. Step 3: Cross multiply
    138.16x = 204.88 × 136.32
  4. Step 4: Simplify right side
    138.16x = 27,929.24
  5. Step 5: Solve for x
    x = 27,929.24/138.16
  6. Step 6: Final answer
    x = 202.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.