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Finding the Fourth Proportional to 284.71, 426.80 and 102.07

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Solution

The fourth proportional to 284.71, 426.80 and 102.07 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.71 : 426.80 = 102.07 : x
  2. Step 2: Convert to fraction form
    284.71/426.80 = 102.07/x
  3. Step 3: Cross multiply
    284.71x = 426.80 × 102.07
  4. Step 4: Simplify right side
    284.71x = 43,560.83
  5. Step 5: Solve for x
    x = 43,560.83/284.71
  6. Step 6: Final answer
    x = 153.00

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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.