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Finding the Fourth Proportional to 291.15, 401.77 and 160.15

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Solution

The fourth proportional to 291.15, 401.77 and 160.15 is: 221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.15 : 401.77 = 160.15 : x
  2. Step 2: Convert to fraction form
    291.15/401.77 = 160.15/x
  3. Step 3: Cross multiply
    291.15x = 401.77 × 160.15
  4. Step 4: Simplify right side
    291.15x = 64,343.47
  5. Step 5: Solve for x
    x = 64,343.47/291.15
  6. Step 6: Final answer
    x = 221.00

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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.