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Finding the Fourth Proportional to 305.17, 421.40 and 207.16

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Solution

The fourth proportional to 305.17, 421.40 and 207.16 is: 286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.17 : 421.40 = 207.16 : x
  2. Step 2: Convert to fraction form
    305.17/421.40 = 207.16/x
  3. Step 3: Cross multiply
    305.17x = 421.40 × 207.16
  4. Step 4: Simplify right side
    305.17x = 87,296.69
  5. Step 5: Solve for x
    x = 87,296.69/305.17
  6. Step 6: Final answer
    x = 286.06

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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.