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Finding the Fourth Proportional to 262.79, 363 and 214.28

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Solution

The fourth proportional to 262.79, 363 and 214.28 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.79 : 363 = 214.28 : x
  2. Step 2: Convert to fraction form
    262.79/363 = 214.28/x
  3. Step 3: Cross multiply
    262.79x = 363 × 214.28
  4. Step 4: Simplify right side
    262.79x = 77,783.64
  5. Step 5: Solve for x
    x = 77,783.64/262.79
  6. Step 6: Final answer
    x = 295.99

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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.