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Finding the Fourth Proportional to 162.21, 242.73 and 142.14

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Solution

The fourth proportional to 162.21, 242.73 and 142.14 is: 212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.21 : 242.73 = 142.14 : x
  2. Step 2: Convert to fraction form
    162.21/242.73 = 142.14/x
  3. Step 3: Cross multiply
    162.21x = 242.73 × 142.14
  4. Step 4: Simplify right side
    162.21x = 34,501.64
  5. Step 5: Solve for x
    x = 34,501.64/162.21
  6. Step 6: Final answer
    x = 212.70

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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.