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Finding the Fourth Proportional to 284.54, 392.64 and 160.20

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Solution

The fourth proportional to 284.54, 392.64 and 160.20 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 392.64 = 160.20 : x
  2. Step 2: Convert to fraction form
    284.54/392.64 = 160.20/x
  3. Step 3: Cross multiply
    284.54x = 392.64 × 160.20
  4. Step 4: Simplify right side
    284.54x = 62,900.93
  5. Step 5: Solve for x
    x = 62,900.93/284.54
  6. Step 6: Final answer
    x = 221.07

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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.