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Finding the Fourth Proportional to 262.94, 362.84 and 146.50

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Solution

The fourth proportional to 262.94, 362.84 and 146.50 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 362.84 = 146.50 : x
  2. Step 2: Convert to fraction form
    262.94/362.84 = 146.50/x
  3. Step 3: Cross multiply
    262.94x = 362.84 × 146.50
  4. Step 4: Simplify right side
    262.94x = 53,156.06
  5. Step 5: Solve for x
    x = 53,156.06/262.94
  6. Step 6: Final answer
    x = 202.16

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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.