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Finding the Fourth Proportional to 594.95, 892.31 and 162.01

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Solution

The fourth proportional to 594.95, 892.31 and 162.01 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 892.31 = 162.01 : x
  2. Step 2: Convert to fraction form
    594.95/892.31 = 162.01/x
  3. Step 3: Cross multiply
    594.95x = 892.31 × 162.01
  4. Step 4: Simplify right side
    594.95x = 144,563.14
  5. Step 5: Solve for x
    x = 144,563.14/594.95
  6. Step 6: Final answer
    x = 242.98

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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.