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Finding the Fourth Proportional to 306.84, 459.26 and 202.76

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Solution

The fourth proportional to 306.84, 459.26 and 202.76 is: 303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 459.26 = 202.76 : x
  2. Step 2: Convert to fraction form
    306.84/459.26 = 202.76/x
  3. Step 3: Cross multiply
    306.84x = 459.26 × 202.76
  4. Step 4: Simplify right side
    306.84x = 93,118.01
  5. Step 5: Solve for x
    x = 93,118.01/306.84
  6. Step 6: Final answer
    x = 303.47

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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.