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Finding the Fourth Proportional to 305.34, 421.22 and 207.06

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Solution

The fourth proportional to 305.34, 421.22 and 207.06 is: 285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 421.22 = 207.06 : x
  2. Step 2: Convert to fraction form
    305.34/421.22 = 207.06/x
  3. Step 3: Cross multiply
    305.34x = 421.22 × 207.06
  4. Step 4: Simplify right side
    305.34x = 87,217.81
  5. Step 5: Solve for x
    x = 87,217.81/305.34
  6. Step 6: Final answer
    x = 285.64

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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.