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Finding the Fourth Proportional to 306.64, 459.98 and 144.44

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Solution

The fourth proportional to 306.64, 459.98 and 144.44 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 459.98 = 144.44 : x
  2. Step 2: Convert to fraction form
    306.64/459.98 = 144.44/x
  3. Step 3: Cross multiply
    306.64x = 459.98 × 144.44
  4. Step 4: Simplify right side
    306.64x = 66,438.76
  5. Step 5: Solve for x
    x = 66,438.76/306.64
  6. Step 6: Final answer
    x = 216.67

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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.