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Finding the Fourth Proportional to 306.96, 460.06 and 177.07

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Solution

The fourth proportional to 306.96, 460.06 and 177.07 is: 265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 460.06 = 177.07 : x
  2. Step 2: Convert to fraction form
    306.96/460.06 = 177.07/x
  3. Step 3: Cross multiply
    306.96x = 460.06 × 177.07
  4. Step 4: Simplify right side
    306.96x = 81,461.23
  5. Step 5: Solve for x
    x = 81,461.23/306.96
  6. Step 6: Final answer
    x = 265.38

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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.