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Finding the Fourth Proportional to 265.88, 399.15 and 193.22

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Solution

The fourth proportional to 265.88, 399.15 and 193.22 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.88 : 399.15 = 193.22 : x
  2. Step 2: Convert to fraction form
    265.88/399.15 = 193.22/x
  3. Step 3: Cross multiply
    265.88x = 399.15 × 193.22
  4. Step 4: Simplify right side
    265.88x = 77,125.49
  5. Step 5: Solve for x
    x = 77,125.49/265.88
  6. Step 6: Final answer
    x = 290.07

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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.