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Finding the Fourth Proportional to 594.87, 892.20 and 162.02

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Solution

The fourth proportional to 594.87, 892.20 and 162.02 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.87 : 892.20 = 162.02 : x
  2. Step 2: Convert to fraction form
    594.87/892.20 = 162.02/x
  3. Step 3: Cross multiply
    594.87x = 892.20 × 162.02
  4. Step 4: Simplify right side
    594.87x = 144,554.24
  5. Step 5: Solve for x
    x = 144,554.24/594.87
  6. Step 6: Final answer
    x = 243.00

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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.