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Finding the Fourth Proportional to 304.12, 456.14 and 206.76

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Solution

The fourth proportional to 304.12, 456.14 and 206.76 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.12 : 456.14 = 206.76 : x
  2. Step 2: Convert to fraction form
    304.12/456.14 = 206.76/x
  3. Step 3: Cross multiply
    304.12x = 456.14 × 206.76
  4. Step 4: Simplify right side
    304.12x = 94,311.51
  5. Step 5: Solve for x
    x = 94,311.51/304.12
  6. Step 6: Final answer
    x = 310.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.