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Finding the Fourth Proportional to 306.57, 459.69 and 101.01

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Solution

The fourth proportional to 306.57, 459.69 and 101.01 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 459.69 = 101.01 : x
  2. Step 2: Convert to fraction form
    306.57/459.69 = 101.01/x
  3. Step 3: Cross multiply
    306.57x = 459.69 × 101.01
  4. Step 4: Simplify right side
    306.57x = 46,433.29
  5. Step 5: Solve for x
    x = 46,433.29/306.57
  6. Step 6: Final answer
    x = 151.46

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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.