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Finding the Fourth Proportional to 146.88, 219.16 and 130.64

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Solution

The fourth proportional to 146.88, 219.16 and 130.64 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 219.16 = 130.64 : x
  2. Step 2: Convert to fraction form
    146.88/219.16 = 130.64/x
  3. Step 3: Cross multiply
    146.88x = 219.16 × 130.64
  4. Step 4: Simplify right side
    146.88x = 28,631.06
  5. Step 5: Solve for x
    x = 28,631.06/146.88
  6. Step 6: Final answer
    x = 194.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.