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Finding the Fourth Proportional to 147.72, 203.44 and 136.77

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Solution

The fourth proportional to 147.72, 203.44 and 136.77 is: 188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.72 : 203.44 = 136.77 : x
  2. Step 2: Convert to fraction form
    147.72/203.44 = 136.77/x
  3. Step 3: Cross multiply
    147.72x = 203.44 × 136.77
  4. Step 4: Simplify right side
    147.72x = 27,823.47
  5. Step 5: Solve for x
    x = 27,823.47/147.72
  6. Step 6: Final answer
    x = 188.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.