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Finding the Fourth Proportional to 242.49, 362.19 and 210.09

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Solution

The fourth proportional to 242.49, 362.19 and 210.09 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.49 : 362.19 = 210.09 : x
  2. Step 2: Convert to fraction form
    242.49/362.19 = 210.09/x
  3. Step 3: Cross multiply
    242.49x = 362.19 × 210.09
  4. Step 4: Simplify right side
    242.49x = 76,092.95
  5. Step 5: Solve for x
    x = 76,092.95/242.49
  6. Step 6: Final answer
    x = 313.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.