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Finding the Fourth Proportional to 306.32, 459.08 and 161.92

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Solution

The fourth proportional to 306.32, 459.08 and 161.92 is: 242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 459.08 = 161.92 : x
  2. Step 2: Convert to fraction form
    306.32/459.08 = 161.92/x
  3. Step 3: Cross multiply
    306.32x = 459.08 × 161.92
  4. Step 4: Simplify right side
    306.32x = 74,334.23
  5. Step 5: Solve for x
    x = 74,334.23/306.32
  6. Step 6: Final answer
    x = 242.67

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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.