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Finding the Fourth Proportional to 262.88, 362.78 and 146.45

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Solution

The fourth proportional to 262.88, 362.78 and 146.45 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 362.78 = 146.45 : x
  2. Step 2: Convert to fraction form
    262.88/362.78 = 146.45/x
  3. Step 3: Cross multiply
    262.88x = 362.78 × 146.45
  4. Step 4: Simplify right side
    262.88x = 53,129.13
  5. Step 5: Solve for x
    x = 53,129.13/262.88
  6. Step 6: Final answer
    x = 202.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.