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Finding the Fourth Proportional to 306.83, 460.29 and 101.42

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Solution

The fourth proportional to 306.83, 460.29 and 101.42 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.83 : 460.29 = 101.42 : x
  2. Step 2: Convert to fraction form
    306.83/460.29 = 101.42/x
  3. Step 3: Cross multiply
    306.83x = 460.29 × 101.42
  4. Step 4: Simplify right side
    306.83x = 46,682.61
  5. Step 5: Solve for x
    x = 46,682.61/306.83
  6. Step 6: Final answer
    x = 152.14

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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.