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Finding the Fourth Proportional to 265.96, 398.94 and 95.08

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Solution

The fourth proportional to 265.96, 398.94 and 95.08 is: 142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 398.94 = 95.08 : x
  2. Step 2: Convert to fraction form
    265.96/398.94 = 95.08/x
  3. Step 3: Cross multiply
    265.96x = 398.94 × 95.08
  4. Step 4: Simplify right side
    265.96x = 37,931.22
  5. Step 5: Solve for x
    x = 37,931.22/265.96
  6. Step 6: Final answer
    x = 142.62

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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.