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Finding the Fourth Proportional to 153.66, 230.76 and 130.98

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Solution

The fourth proportional to 153.66, 230.76 and 130.98 is: 196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 230.76 = 130.98 : x
  2. Step 2: Convert to fraction form
    153.66/230.76 = 130.98/x
  3. Step 3: Cross multiply
    153.66x = 230.76 × 130.98
  4. Step 4: Simplify right side
    153.66x = 30,224.94
  5. Step 5: Solve for x
    x = 30,224.94/153.66
  6. Step 6: Final answer
    x = 196.70

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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.