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Finding the Fourth Proportional to 268.90, 371.10 and 152.46

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Solution

The fourth proportional to 268.90, 371.10 and 152.46 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.90 : 371.10 = 152.46 : x
  2. Step 2: Convert to fraction form
    268.90/371.10 = 152.46/x
  3. Step 3: Cross multiply
    268.90x = 371.10 × 152.46
  4. Step 4: Simplify right side
    268.90x = 56,577.91
  5. Step 5: Solve for x
    x = 56,577.91/268.90
  6. Step 6: Final answer
    x = 210.41

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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.