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Finding the Fourth Proportional to 291.04, 436.68 and 137.00

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Solution

The fourth proportional to 291.04, 436.68 and 137.00 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.04 : 436.68 = 137.00 : x
  2. Step 2: Convert to fraction form
    291.04/436.68 = 137.00/x
  3. Step 3: Cross multiply
    291.04x = 436.68 × 137.00
  4. Step 4: Simplify right side
    291.04x = 59,826.25
  5. Step 5: Solve for x
    x = 59,826.25/291.04
  6. Step 6: Final answer
    x = 205.56

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Why These Related Problems?

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