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Finding the Fourth Proportional to 268.92, 370.98 and 175.63

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Solution

The fourth proportional to 268.92, 370.98 and 175.63 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 370.98 = 175.63 : x
  2. Step 2: Convert to fraction form
    268.92/370.98 = 175.63/x
  3. Step 3: Cross multiply
    268.92x = 370.98 × 175.63
  4. Step 4: Simplify right side
    268.92x = 65,153.94
  5. Step 5: Solve for x
    x = 65,153.94/268.92
  6. Step 6: Final answer
    x = 242.28

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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.