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Finding the Fourth Proportional to 292.02, 402.74 and 204.64

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Solution

The fourth proportional to 292.02, 402.74 and 204.64 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 402.74 = 204.64 : x
  2. Step 2: Convert to fraction form
    292.02/402.74 = 204.64/x
  3. Step 3: Cross multiply
    292.02x = 402.74 × 204.64
  4. Step 4: Simplify right side
    292.02x = 82,416.71
  5. Step 5: Solve for x
    x = 82,416.71/292.02
  6. Step 6: Final answer
    x = 282.23

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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.