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Finding the Fourth Proportional to 291.02, 401.58 and 171.35

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Solution

The fourth proportional to 291.02, 401.58 and 171.35 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.02 : 401.58 = 171.35 : x
  2. Step 2: Convert to fraction form
    291.02/401.58 = 171.35/x
  3. Step 3: Cross multiply
    291.02x = 401.58 × 171.35
  4. Step 4: Simplify right side
    291.02x = 68,811.32
  5. Step 5: Solve for x
    x = 68,811.32/291.02
  6. Step 6: Final answer
    x = 236.45

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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.