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Finding the Fourth Proportional to 195.18, 293.08 and 161.16

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Solution

The fourth proportional to 195.18, 293.08 and 161.16 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 293.08 = 161.16 : x
  2. Step 2: Convert to fraction form
    195.18/293.08 = 161.16/x
  3. Step 3: Cross multiply
    195.18x = 293.08 × 161.16
  4. Step 4: Simplify right side
    195.18x = 47,232.77
  5. Step 5: Solve for x
    x = 47,232.77/195.18
  6. Step 6: Final answer
    x = 242.00

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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.