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Finding the Fourth Proportional to 292.02, 403.02 and 214.26

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Solution

The fourth proportional to 292.02, 403.02 and 214.26 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 403.02 = 214.26 : x
  2. Step 2: Convert to fraction form
    292.02/403.02 = 214.26/x
  3. Step 3: Cross multiply
    292.02x = 403.02 × 214.26
  4. Step 4: Simplify right side
    292.02x = 86,351.07
  5. Step 5: Solve for x
    x = 86,351.07/292.02
  6. Step 6: Final answer
    x = 295.70

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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.