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Finding the Fourth Proportional to 153.65, 230.29 and 76.67

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Solution

The fourth proportional to 153.65, 230.29 and 76.67 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.65 : 230.29 = 76.67 : x
  2. Step 2: Convert to fraction form
    153.65/230.29 = 76.67/x
  3. Step 3: Cross multiply
    153.65x = 230.29 × 76.67
  4. Step 4: Simplify right side
    153.65x = 17,655.48
  5. Step 5: Solve for x
    x = 17,655.48/153.65
  6. Step 6: Final answer
    x = 114.91

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Why These Related Problems?

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