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Finding the Fourth Proportional to 275.68, 380.42 and 210.07

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Solution

The fourth proportional to 275.68, 380.42 and 210.07 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 380.42 = 210.07 : x
  2. Step 2: Convert to fraction form
    275.68/380.42 = 210.07/x
  3. Step 3: Cross multiply
    275.68x = 380.42 × 210.07
  4. Step 4: Simplify right side
    275.68x = 79,914.83
  5. Step 5: Solve for x
    x = 79,914.83/275.68
  6. Step 6: Final answer
    x = 289.88

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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.