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Finding the Fourth Proportional to 300.53, 414.76 and 176.17

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Solution

The fourth proportional to 300.53, 414.76 and 176.17 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 414.76 = 176.17 : x
  2. Step 2: Convert to fraction form
    300.53/414.76 = 176.17/x
  3. Step 3: Cross multiply
    300.53x = 414.76 × 176.17
  4. Step 4: Simplify right side
    300.53x = 73,068.27
  5. Step 5: Solve for x
    x = 73,068.27/300.53
  6. Step 6: Final answer
    x = 243.13

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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.