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Finding the Fourth Proportional to 161.93, 242.91 and 142.81

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Solution

The fourth proportional to 161.93, 242.91 and 142.81 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 242.91 = 142.81 : x
  2. Step 2: Convert to fraction form
    161.93/242.91 = 142.81/x
  3. Step 3: Cross multiply
    161.93x = 242.91 × 142.81
  4. Step 4: Simplify right side
    161.93x = 34,689.37
  5. Step 5: Solve for x
    x = 34,689.37/161.93
  6. Step 6: Final answer
    x = 214.22

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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.