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Finding the Fourth Proportional to 300.48, 414.66 and 176.16

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Solution

The fourth proportional to 300.48, 414.66 and 176.16 is: 243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 414.66 = 176.16 : x
  2. Step 2: Convert to fraction form
    300.48/414.66 = 176.16/x
  3. Step 3: Cross multiply
    300.48x = 414.66 × 176.16
  4. Step 4: Simplify right side
    300.48x = 73,046.51
  5. Step 5: Solve for x
    x = 73,046.51/300.48
  6. Step 6: Final answer
    x = 243.10

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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.