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Finding the Fourth Proportional to 242.88, 334.34 and 211.35

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Solution

The fourth proportional to 242.88, 334.34 and 211.35 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 334.34 = 211.35 : x
  2. Step 2: Convert to fraction form
    242.88/334.34 = 211.35/x
  3. Step 3: Cross multiply
    242.88x = 334.34 × 211.35
  4. Step 4: Simplify right side
    242.88x = 70,661.70
  5. Step 5: Solve for x
    x = 70,661.70/242.88
  6. Step 6: Final answer
    x = 290.93

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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.