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Finding the Fourth Proportional to 295.30, 407.40 and 206.76

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Solution

The fourth proportional to 295.30, 407.40 and 206.76 is: 285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 407.40 = 206.76 : x
  2. Step 2: Convert to fraction form
    295.30/407.40 = 206.76/x
  3. Step 3: Cross multiply
    295.30x = 407.40 × 206.76
  4. Step 4: Simplify right side
    295.30x = 84,234.02
  5. Step 5: Solve for x
    x = 84,234.02/295.30
  6. Step 6: Final answer
    x = 285.25

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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.