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Finding the Fourth Proportional to 285.35, 393.71 and 160.98

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Solution

The fourth proportional to 285.35, 393.71 and 160.98 is: 222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 393.71 = 160.98 : x
  2. Step 2: Convert to fraction form
    285.35/393.71 = 160.98/x
  3. Step 3: Cross multiply
    285.35x = 393.71 × 160.98
  4. Step 4: Simplify right side
    285.35x = 63,378.63
  5. Step 5: Solve for x
    x = 63,378.63/285.35
  6. Step 6: Final answer
    x = 222.11

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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.