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Finding the Fourth Proportional to 162.24, 242.72 and 123.83

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Solution

The fourth proportional to 162.24, 242.72 and 123.83 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 242.72 = 123.83 : x
  2. Step 2: Convert to fraction form
    162.24/242.72 = 123.83/x
  3. Step 3: Cross multiply
    162.24x = 242.72 × 123.83
  4. Step 4: Simplify right side
    162.24x = 30,056.02
  5. Step 5: Solve for x
    x = 30,056.02/162.24
  6. Step 6: Final answer
    x = 185.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.