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Finding the Fourth Proportional to 162.83, 224.03 and 142.16

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Solution

The fourth proportional to 162.83, 224.03 and 142.16 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.83 : 224.03 = 142.16 : x
  2. Step 2: Convert to fraction form
    162.83/224.03 = 142.16/x
  3. Step 3: Cross multiply
    162.83x = 224.03 × 142.16
  4. Step 4: Simplify right side
    162.83x = 31,847.11
  5. Step 5: Solve for x
    x = 31,847.11/162.83
  6. Step 6: Final answer
    x = 195.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.