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Finding the Fourth Proportional to 594.89, 892.32 and 162.05

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Solution

The fourth proportional to 594.89, 892.32 and 162.05 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.89 : 892.32 = 162.05 : x
  2. Step 2: Convert to fraction form
    594.89/892.32 = 162.05/x
  3. Step 3: Cross multiply
    594.89x = 892.32 × 162.05
  4. Step 4: Simplify right side
    594.89x = 144,595.59
  5. Step 5: Solve for x
    x = 144,595.59/594.89
  6. Step 6: Final answer
    x = 243.06

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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.