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Finding the Fourth Proportional to 284.65, 392.81 and 160.31

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Solution

The fourth proportional to 284.65, 392.81 and 160.31 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.65 : 392.81 = 160.31 : x
  2. Step 2: Convert to fraction form
    284.65/392.81 = 160.31/x
  3. Step 3: Cross multiply
    284.65x = 392.81 × 160.31
  4. Step 4: Simplify right side
    284.65x = 62,971.37
  5. Step 5: Solve for x
    x = 62,971.37/284.65
  6. Step 6: Final answer
    x = 221.22

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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.