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Finding the Fourth Proportional to 284.78, 427.14 and 102.16

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Solution

The fourth proportional to 284.78, 427.14 and 102.16 is: 153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 427.14 = 102.16 : x
  2. Step 2: Convert to fraction form
    284.78/427.14 = 102.16/x
  3. Step 3: Cross multiply
    284.78x = 427.14 × 102.16
  4. Step 4: Simplify right side
    284.78x = 43,636.11
  5. Step 5: Solve for x
    x = 43,636.11/284.78
  6. Step 6: Final answer
    x = 153.23

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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.