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Finding the Fourth Proportional to 152.69, 229.70 and 137.57

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Solution

The fourth proportional to 152.69, 229.70 and 137.57 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.69 : 229.70 = 137.57 : x
  2. Step 2: Convert to fraction form
    152.69/229.70 = 137.57/x
  3. Step 3: Cross multiply
    152.69x = 229.70 × 137.57
  4. Step 4: Simplify right side
    152.69x = 31,599.02
  5. Step 5: Solve for x
    x = 31,599.02/152.69
  6. Step 6: Final answer
    x = 206.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.