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Finding the Fourth Proportional to 275.95, 380.40 and 210.34

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Solution

The fourth proportional to 275.95, 380.40 and 210.34 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.95 : 380.40 = 210.34 : x
  2. Step 2: Convert to fraction form
    275.95/380.40 = 210.34/x
  3. Step 3: Cross multiply
    275.95x = 380.40 × 210.34
  4. Step 4: Simplify right side
    275.95x = 80,013.34
  5. Step 5: Solve for x
    x = 80,013.34/275.95
  6. Step 6: Final answer
    x = 289.96

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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.