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Finding the Fourth Proportional to 130.98, 196.53 and 122.28

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Solution

The fourth proportional to 130.98, 196.53 and 122.28 is: 183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 196.53 = 122.28 : x
  2. Step 2: Convert to fraction form
    130.98/196.53 = 122.28/x
  3. Step 3: Cross multiply
    130.98x = 196.53 × 122.28
  4. Step 4: Simplify right side
    130.98x = 24,030.49
  5. Step 5: Solve for x
    x = 24,030.49/130.98
  6. Step 6: Final answer
    x = 183.46

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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.