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Finding the Fourth Proportional to 242.08, 362.80 and 120.16

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Solution

The fourth proportional to 242.08, 362.80 and 120.16 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.08 : 362.80 = 120.16 : x
  2. Step 2: Convert to fraction form
    242.08/362.80 = 120.16/x
  3. Step 3: Cross multiply
    242.08x = 362.80 × 120.16
  4. Step 4: Simplify right side
    242.08x = 43,594.05
  5. Step 5: Solve for x
    x = 43,594.05/242.08
  6. Step 6: Final answer
    x = 180.08

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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.