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Finding the Fourth Proportional to 286.68, 395.70 and 176.16

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Solution

The fourth proportional to 286.68, 395.70 and 176.16 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.68 : 395.70 = 176.16 : x
  2. Step 2: Convert to fraction form
    286.68/395.70 = 176.16/x
  3. Step 3: Cross multiply
    286.68x = 395.70 × 176.16
  4. Step 4: Simplify right side
    286.68x = 69,706.51
  5. Step 5: Solve for x
    x = 69,706.51/286.68
  6. Step 6: Final answer
    x = 243.15

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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.