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Finding the Fourth Proportional to 284.71, 392.93 and 160.38

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Solution

The fourth proportional to 284.71, 392.93 and 160.38 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.71 : 392.93 = 160.38 : x
  2. Step 2: Convert to fraction form
    284.71/392.93 = 160.38/x
  3. Step 3: Cross multiply
    284.71x = 392.93 × 160.38
  4. Step 4: Simplify right side
    284.71x = 63,018.11
  5. Step 5: Solve for x
    x = 63,018.11/284.71
  6. Step 6: Final answer
    x = 221.34

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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.