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Finding the Fourth Proportional to 594.82, 892.16 and 162.01

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Solution

The fourth proportional to 594.82, 892.16 and 162.01 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 892.16 = 162.01 : x
  2. Step 2: Convert to fraction form
    594.82/892.16 = 162.01/x
  3. Step 3: Cross multiply
    594.82x = 892.16 × 162.01
  4. Step 4: Simplify right side
    594.82x = 144,533.57
  5. Step 5: Solve for x
    x = 144,533.57/594.82
  6. Step 6: Final answer
    x = 242.99

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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.