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Finding the Fourth Proportional to 300.40, 414.53 and 176.06

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Solution

The fourth proportional to 300.40, 414.53 and 176.06 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 414.53 = 176.06 : x
  2. Step 2: Convert to fraction form
    300.40/414.53 = 176.06/x
  3. Step 3: Cross multiply
    300.40x = 414.53 × 176.06
  4. Step 4: Simplify right side
    300.40x = 72,982.15
  5. Step 5: Solve for x
    x = 72,982.15/300.40
  6. Step 6: Final answer
    x = 242.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.