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Finding the Fourth Proportional to 291.14, 401.75 and 160.14

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Solution

The fourth proportional to 291.14, 401.75 and 160.14 is: 220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 401.75 = 160.14 : x
  2. Step 2: Convert to fraction form
    291.14/401.75 = 160.14/x
  3. Step 3: Cross multiply
    291.14x = 401.75 × 160.14
  4. Step 4: Simplify right side
    291.14x = 64,336.25
  5. Step 5: Solve for x
    x = 64,336.25/291.14
  6. Step 6: Final answer
    x = 220.98

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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.