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Finding the Fourth Proportional to 306.58, 459.45 and 176.68

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Solution

The fourth proportional to 306.58, 459.45 and 176.68 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 459.45 = 176.68 : x
  2. Step 2: Convert to fraction form
    306.58/459.45 = 176.68/x
  3. Step 3: Cross multiply
    306.58x = 459.45 × 176.68
  4. Step 4: Simplify right side
    306.58x = 81,175.63
  5. Step 5: Solve for x
    x = 81,175.63/306.58
  6. Step 6: Final answer
    x = 264.78

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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.