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Finding the Fourth Proportional to 242.19, 334.19 and 154.85

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Solution

The fourth proportional to 242.19, 334.19 and 154.85 is: 213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.19 : 334.19 = 154.85 : x
  2. Step 2: Convert to fraction form
    242.19/334.19 = 154.85/x
  3. Step 3: Cross multiply
    242.19x = 334.19 × 154.85
  4. Step 4: Simplify right side
    242.19x = 51,746.88
  5. Step 5: Solve for x
    x = 51,746.88/242.19
  6. Step 6: Final answer
    x = 213.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.