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Finding the Fourth Proportional to 291.45, 436.97 and 147.09

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Solution

The fourth proportional to 291.45, 436.97 and 147.09 is: 220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.45 : 436.97 = 147.09 : x
  2. Step 2: Convert to fraction form
    291.45/436.97 = 147.09/x
  3. Step 3: Cross multiply
    291.45x = 436.97 × 147.09
  4. Step 4: Simplify right side
    291.45x = 64,271.00
  5. Step 5: Solve for x
    x = 64,271.00/291.45
  6. Step 6: Final answer
    x = 220.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.