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Finding the Fourth Proportional to 162.19, 242.77 and 120.81

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Solution

The fourth proportional to 162.19, 242.77 and 120.81 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 242.77 = 120.81 : x
  2. Step 2: Convert to fraction form
    162.19/242.77 = 120.81/x
  3. Step 3: Cross multiply
    162.19x = 242.77 × 120.81
  4. Step 4: Simplify right side
    162.19x = 29,329.89
  5. Step 5: Solve for x
    x = 29,329.89/162.19
  6. Step 6: Final answer
    x = 180.84

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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.