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Finding the Fourth Proportional to 159.69, 237.87 and 152.67

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Solution

The fourth proportional to 159.69, 237.87 and 152.67 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.69 : 237.87 = 152.67 : x
  2. Step 2: Convert to fraction form
    159.69/237.87 = 152.67/x
  3. Step 3: Cross multiply
    159.69x = 237.87 × 152.67
  4. Step 4: Simplify right side
    159.69x = 36,315.61
  5. Step 5: Solve for x
    x = 36,315.61/159.69
  6. Step 6: Final answer
    x = 227.41

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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.