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Finding the Fourth Proportional to 291.08, 436.80 and 146.81

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Solution

The fourth proportional to 291.08, 436.80 and 146.81 is: 220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.08 : 436.80 = 146.81 : x
  2. Step 2: Convert to fraction form
    291.08/436.80 = 146.81/x
  3. Step 3: Cross multiply
    291.08x = 436.80 × 146.81
  4. Step 4: Simplify right side
    291.08x = 64,126.61
  5. Step 5: Solve for x
    x = 64,126.61/291.08
  6. Step 6: Final answer
    x = 220.31

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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.