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Finding the Fourth Proportional to 275.93, 414.06 and 146.02

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Solution

The fourth proportional to 275.93, 414.06 and 146.02 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 414.06 = 146.02 : x
  2. Step 2: Convert to fraction form
    275.93/414.06 = 146.02/x
  3. Step 3: Cross multiply
    275.93x = 414.06 × 146.02
  4. Step 4: Simplify right side
    275.93x = 60,461.04
  5. Step 5: Solve for x
    x = 60,461.04/275.93
  6. Step 6: Final answer
    x = 219.12

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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.