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Finding the Fourth Proportional to 284.64, 427.02 and 113.64

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Solution

The fourth proportional to 284.64, 427.02 and 113.64 is: 170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 427.02 = 113.64 : x
  2. Step 2: Convert to fraction form
    284.64/427.02 = 113.64/x
  3. Step 3: Cross multiply
    284.64x = 427.02 × 113.64
  4. Step 4: Simplify right side
    284.64x = 48,526.55
  5. Step 5: Solve for x
    x = 48,526.55/284.64
  6. Step 6: Final answer
    x = 170.48

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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.