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Finding the Fourth Proportional to 284.75, 392.95 and 160.40

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Solution

The fourth proportional to 284.75, 392.95 and 160.40 is: 221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 392.95 = 160.40 : x
  2. Step 2: Convert to fraction form
    284.75/392.95 = 160.40/x
  3. Step 3: Cross multiply
    284.75x = 392.95 × 160.40
  4. Step 4: Simplify right side
    284.75x = 63,028.15
  5. Step 5: Solve for x
    x = 63,028.15/284.75
  6. Step 6: Final answer
    x = 221.35

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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.