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Finding the Fourth Proportional to 152.35, 227 and 136.20

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Solution

The fourth proportional to 152.35, 227 and 136.20 is: 202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 227 = 136.20 : x
  2. Step 2: Convert to fraction form
    152.35/227 = 136.20/x
  3. Step 3: Cross multiply
    152.35x = 227 × 136.20
  4. Step 4: Simplify right side
    152.35x = 30,917.40
  5. Step 5: Solve for x
    x = 30,917.40/152.35
  6. Step 6: Final answer
    x = 202.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.