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Finding the Fourth Proportional to 147.18, 202.94 and 136.58

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Solution

The fourth proportional to 147.18, 202.94 and 136.58 is: 188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 202.94 = 136.58 : x
  2. Step 2: Convert to fraction form
    147.18/202.94 = 136.58/x
  3. Step 3: Cross multiply
    147.18x = 202.94 × 136.58
  4. Step 4: Simplify right side
    147.18x = 27,717.55
  5. Step 5: Solve for x
    x = 27,717.55/147.18
  6. Step 6: Final answer
    x = 188.32

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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.