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Finding the Fourth Proportional to 265.34, 397.51 and 162.47

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Solution

The fourth proportional to 265.34, 397.51 and 162.47 is: 243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 397.51 = 162.47 : x
  2. Step 2: Convert to fraction form
    265.34/397.51 = 162.47/x
  3. Step 3: Cross multiply
    265.34x = 397.51 × 162.47
  4. Step 4: Simplify right side
    265.34x = 64,584.04
  5. Step 5: Solve for x
    x = 64,584.04/265.34
  6. Step 6: Final answer
    x = 243.40

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