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Finding the Fourth Proportional to 291.99, 437.98 and 109.51

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Solution

The fourth proportional to 291.99, 437.98 and 109.51 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.99 : 437.98 = 109.51 : x
  2. Step 2: Convert to fraction form
    291.99/437.98 = 109.51/x
  3. Step 3: Cross multiply
    291.99x = 437.98 × 109.51
  4. Step 4: Simplify right side
    291.99x = 47,963.19
  5. Step 5: Solve for x
    x = 47,963.19/291.99
  6. Step 6: Final answer
    x = 164.27

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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.