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Finding the Fourth Proportional to 284.42, 392.47 and 160.05

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Solution

The fourth proportional to 284.42, 392.47 and 160.05 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.42 : 392.47 = 160.05 : x
  2. Step 2: Convert to fraction form
    284.42/392.47 = 160.05/x
  3. Step 3: Cross multiply
    284.42x = 392.47 × 160.05
  4. Step 4: Simplify right side
    284.42x = 62,814.82
  5. Step 5: Solve for x
    x = 62,814.82/284.42
  6. Step 6: Final answer
    x = 220.85

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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.