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Finding the Fourth Proportional to 284.51, 426.97 and 102.06

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Solution

The fourth proportional to 284.51, 426.97 and 102.06 is: 153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.51 : 426.97 = 102.06 : x
  2. Step 2: Convert to fraction form
    284.51/426.97 = 102.06/x
  3. Step 3: Cross multiply
    284.51x = 426.97 × 102.06
  4. Step 4: Simplify right side
    284.51x = 43,576.69
  5. Step 5: Solve for x
    x = 43,576.69/284.51
  6. Step 6: Final answer
    x = 153.16

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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.