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Finding the Fourth Proportional to 265.90, 398.99 and 156.37

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Solution

The fourth proportional to 265.90, 398.99 and 156.37 is: 234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 398.99 = 156.37 : x
  2. Step 2: Convert to fraction form
    265.90/398.99 = 156.37/x
  3. Step 3: Cross multiply
    265.90x = 398.99 × 156.37
  4. Step 4: Simplify right side
    265.90x = 62,389.28
  5. Step 5: Solve for x
    x = 62,389.28/265.90
  6. Step 6: Final answer
    x = 234.63

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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.