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Finding the Fourth Proportional to 242.01, 363.26 and 120.35

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Solution

The fourth proportional to 242.01, 363.26 and 120.35 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.01 : 363.26 = 120.35 : x
  2. Step 2: Convert to fraction form
    242.01/363.26 = 120.35/x
  3. Step 3: Cross multiply
    242.01x = 363.26 × 120.35
  4. Step 4: Simplify right side
    242.01x = 43,718.34
  5. Step 5: Solve for x
    x = 43,718.34/242.01
  6. Step 6: Final answer
    x = 180.65

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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.