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Finding the Fourth Proportional to 291.47, 436.85 and 147.23

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Solution

The fourth proportional to 291.47, 436.85 and 147.23 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 436.85 = 147.23 : x
  2. Step 2: Convert to fraction form
    291.47/436.85 = 147.23/x
  3. Step 3: Cross multiply
    291.47x = 436.85 × 147.23
  4. Step 4: Simplify right side
    291.47x = 64,316.69
  5. Step 5: Solve for x
    x = 64,316.69/291.47
  6. Step 6: Final answer
    x = 220.66

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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.