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Finding the Fourth Proportional to 284.42, 392.67 and 186.34

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Solution

The fourth proportional to 284.42, 392.67 and 186.34 is: 257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.42 : 392.67 = 186.34 : x
  2. Step 2: Convert to fraction form
    284.42/392.67 = 186.34/x
  3. Step 3: Cross multiply
    284.42x = 392.67 × 186.34
  4. Step 4: Simplify right side
    284.42x = 73,170.13
  5. Step 5: Solve for x
    x = 73,170.13/284.42
  6. Step 6: Final answer
    x = 257.26

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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.