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Finding the Fourth Proportional to 295.00, 407.23 and 201.71

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Solution

The fourth proportional to 295.00, 407.23 and 201.71 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.00 : 407.23 = 201.71 : x
  2. Step 2: Convert to fraction form
    295.00/407.23 = 201.71/x
  3. Step 3: Cross multiply
    295.00x = 407.23 × 201.71
  4. Step 4: Simplify right side
    295.00x = 82,142.88
  5. Step 5: Solve for x
    x = 82,142.88/295.00
  6. Step 6: Final answer
    x = 278.45

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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.