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Finding the Fourth Proportional to 274.07, 410.43 and 176.26

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Solution

The fourth proportional to 274.07, 410.43 and 176.26 is: 263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.07 : 410.43 = 176.26 : x
  2. Step 2: Convert to fraction form
    274.07/410.43 = 176.26/x
  3. Step 3: Cross multiply
    274.07x = 410.43 × 176.26
  4. Step 4: Simplify right side
    274.07x = 72,341.37
  5. Step 5: Solve for x
    x = 72,341.37/274.07
  6. Step 6: Final answer
    x = 263.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.