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Finding the Fourth Proportional to 152.30, 209.70 and 136.33

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Solution

The fourth proportional to 152.30, 209.70 and 136.33 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 209.70 = 136.33 : x
  2. Step 2: Convert to fraction form
    152.30/209.70 = 136.33/x
  3. Step 3: Cross multiply
    152.30x = 209.70 × 136.33
  4. Step 4: Simplify right side
    152.30x = 28,586.67
  5. Step 5: Solve for x
    x = 28,586.67/152.30
  6. Step 6: Final answer
    x = 187.70

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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.