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Finding the Fourth Proportional to 284.69, 392.47 and 201.64

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Solution

The fourth proportional to 284.69, 392.47 and 201.64 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 392.47 = 201.64 : x
  2. Step 2: Convert to fraction form
    284.69/392.47 = 201.64/x
  3. Step 3: Cross multiply
    284.69x = 392.47 × 201.64
  4. Step 4: Simplify right side
    284.69x = 79,137.47
  5. Step 5: Solve for x
    x = 79,137.47/284.69
  6. Step 6: Final answer
    x = 277.98

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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.