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Finding the Fourth Proportional to 292.44, 401.65 and 243.24

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Solution

The fourth proportional to 292.44, 401.65 and 243.24 is: 334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.44 : 401.65 = 243.24 : x
  2. Step 2: Convert to fraction form
    292.44/401.65 = 243.24/x
  3. Step 3: Cross multiply
    292.44x = 401.65 × 243.24
  4. Step 4: Simplify right side
    292.44x = 97,697.35
  5. Step 5: Solve for x
    x = 97,697.35/292.44
  6. Step 6: Final answer
    x = 334.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.