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Finding the Fourth Proportional to 284.50, 392.66 and 214.46

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Solution

The fourth proportional to 284.50, 392.66 and 214.46 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 392.66 = 214.46 : x
  2. Step 2: Convert to fraction form
    284.50/392.66 = 214.46/x
  3. Step 3: Cross multiply
    284.50x = 392.66 × 214.46
  4. Step 4: Simplify right side
    284.50x = 84,207.63
  5. Step 5: Solve for x
    x = 84,207.63/284.50
  6. Step 6: Final answer
    x = 295.99

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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.