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Finding the Fourth Proportional to 242, 334 and 154.80

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Solution

The fourth proportional to 242, 334 and 154.80 is: 213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242 : 334 = 154.80 : x
  2. Step 2: Convert to fraction form
    242/334 = 154.80/x
  3. Step 3: Cross multiply
    242x = 334 × 154.80
  4. Step 4: Simplify right side
    242x = 51,703.20
  5. Step 5: Solve for x
    x = 51,703.20/242
  6. Step 6: Final answer
    x = 213.65

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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.