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Finding the Fourth Proportional to 242.81, 364.22 and 60.21

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Solution

The fourth proportional to 242.81, 364.22 and 60.21 is: 90.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.81 : 364.22 = 60.21 : x
  2. Step 2: Convert to fraction form
    242.81/364.22 = 60.21/x
  3. Step 3: Cross multiply
    242.81x = 364.22 × 60.21
  4. Step 4: Simplify right side
    242.81x = 21,929.61
  5. Step 5: Solve for x
    x = 21,929.61/242.81
  6. Step 6: Final answer
    x = 90.31

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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.