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Finding the Fourth Proportional to 242.06, 334.03 and 131.53

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Solution

The fourth proportional to 242.06, 334.03 and 131.53 is: 181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 334.03 = 131.53 : x
  2. Step 2: Convert to fraction form
    242.06/334.03 = 131.53/x
  3. Step 3: Cross multiply
    242.06x = 334.03 × 131.53
  4. Step 4: Simplify right side
    242.06x = 43,933.80
  5. Step 5: Solve for x
    x = 43,933.80/242.06
  6. Step 6: Final answer
    x = 181.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.