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Finding the Fourth Proportional to 214.24, 295.77 and 202.36

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Solution

The fourth proportional to 214.24, 295.77 and 202.36 is: 279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 295.77 = 202.36 : x
  2. Step 2: Convert to fraction form
    214.24/295.77 = 202.36/x
  3. Step 3: Cross multiply
    214.24x = 295.77 × 202.36
  4. Step 4: Simplify right side
    214.24x = 59,852.02
  5. Step 5: Solve for x
    x = 59,852.02/214.24
  6. Step 6: Final answer
    x = 279.37

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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.