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Finding the Fourth Proportional to 284.50, 392.58 and 186.40

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Solution

The fourth proportional to 284.50, 392.58 and 186.40 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 392.58 = 186.40 : x
  2. Step 2: Convert to fraction form
    284.50/392.58 = 186.40/x
  3. Step 3: Cross multiply
    284.50x = 392.58 × 186.40
  4. Step 4: Simplify right side
    284.50x = 73,176.91
  5. Step 5: Solve for x
    x = 73,176.91/284.50
  6. Step 6: Final answer
    x = 257.21

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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.