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Finding the Fourth Proportional to 265.12, 397.34 and 143.14

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Solution

The fourth proportional to 265.12, 397.34 and 143.14 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.12 : 397.34 = 143.14 : x
  2. Step 2: Convert to fraction form
    265.12/397.34 = 143.14/x
  3. Step 3: Cross multiply
    265.12x = 397.34 × 143.14
  4. Step 4: Simplify right side
    265.12x = 56,875.25
  5. Step 5: Solve for x
    x = 56,875.25/265.12
  6. Step 6: Final answer
    x = 214.53

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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.