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Finding the Fourth Proportional to 262.50, 362.43 and 184.74

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Solution

The fourth proportional to 262.50, 362.43 and 184.74 is: 255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 362.43 = 184.74 : x
  2. Step 2: Convert to fraction form
    262.50/362.43 = 184.74/x
  3. Step 3: Cross multiply
    262.50x = 362.43 × 184.74
  4. Step 4: Simplify right side
    262.50x = 66,955.32
  5. Step 5: Solve for x
    x = 66,955.32/262.50
  6. Step 6: Final answer
    x = 255.07

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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.