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Finding the Fourth Proportional to 291.95, 438 and 109.35

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Solution

The fourth proportional to 291.95, 438 and 109.35 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.95 : 438 = 109.35 : x
  2. Step 2: Convert to fraction form
    291.95/438 = 109.35/x
  3. Step 3: Cross multiply
    291.95x = 438 × 109.35
  4. Step 4: Simplify right side
    291.95x = 47,893.11
  5. Step 5: Solve for x
    x = 47,893.11/291.95
  6. Step 6: Final answer
    x = 164.05

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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.