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Finding the Fourth Proportional to 334.22, 501.75 and 243.02

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Solution

The fourth proportional to 334.22, 501.75 and 243.02 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 501.75 = 243.02 : x
  2. Step 2: Convert to fraction form
    334.22/501.75 = 243.02/x
  3. Step 3: Cross multiply
    334.22x = 501.75 × 243.02
  4. Step 4: Simplify right side
    334.22x = 121,935.29
  5. Step 5: Solve for x
    x = 121,935.29/334.22
  6. Step 6: Final answer
    x = 364.84

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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.