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Finding the Fourth Proportional to 284.49, 392.42 and 186.24

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Solution

The fourth proportional to 284.49, 392.42 and 186.24 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.49 : 392.42 = 186.24 : x
  2. Step 2: Convert to fraction form
    284.49/392.42 = 186.24/x
  3. Step 3: Cross multiply
    284.49x = 392.42 × 186.24
  4. Step 4: Simplify right side
    284.49x = 73,083.37
  5. Step 5: Solve for x
    x = 73,083.37/284.49
  6. Step 6: Final answer
    x = 256.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.