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Finding the Fourth Proportional to 595.18, 892.74 and 162.31

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Solution

The fourth proportional to 595.18, 892.74 and 162.31 is: 243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.18 : 892.74 = 162.31 : x
  2. Step 2: Convert to fraction form
    595.18/892.74 = 162.31/x
  3. Step 3: Cross multiply
    595.18x = 892.74 × 162.31
  4. Step 4: Simplify right side
    595.18x = 144,900.63
  5. Step 5: Solve for x
    x = 144,900.63/595.18
  6. Step 6: Final answer
    x = 243.46

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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.