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Finding the Fourth Proportional to 306.54, 459.96 and 160.32

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Solution

The fourth proportional to 306.54, 459.96 and 160.32 is: 240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 459.96 = 160.32 : x
  2. Step 2: Convert to fraction form
    306.54/459.96 = 160.32/x
  3. Step 3: Cross multiply
    306.54x = 459.96 × 160.32
  4. Step 4: Simplify right side
    306.54x = 73,740.79
  5. Step 5: Solve for x
    x = 73,740.79/306.54
  6. Step 6: Final answer
    x = 240.56

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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.