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Finding the Fourth Proportional to 306.29, 459.10 and 202.14

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Solution

The fourth proportional to 306.29, 459.10 and 202.14 is: 302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 459.10 = 202.14 : x
  2. Step 2: Convert to fraction form
    306.29/459.10 = 202.14/x
  3. Step 3: Cross multiply
    306.29x = 459.10 × 202.14
  4. Step 4: Simplify right side
    306.29x = 92,802.73
  5. Step 5: Solve for x
    x = 92,802.73/306.29
  6. Step 6: Final answer
    x = 302.99

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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.