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Finding the Fourth Proportional to 284.63, 392.72 and 160.26

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Solution

The fourth proportional to 284.63, 392.72 and 160.26 is: 221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 392.72 = 160.26 : x
  2. Step 2: Convert to fraction form
    284.63/392.72 = 160.26/x
  3. Step 3: Cross multiply
    284.63x = 392.72 × 160.26
  4. Step 4: Simplify right side
    284.63x = 62,936.51
  5. Step 5: Solve for x
    x = 62,936.51/284.63
  6. Step 6: Final answer
    x = 221.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.