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Finding the Fourth Proportional to 145.94, 217.95 and 138.04

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Solution

The fourth proportional to 145.94, 217.95 and 138.04 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 217.95 = 138.04 : x
  2. Step 2: Convert to fraction form
    145.94/217.95 = 138.04/x
  3. Step 3: Cross multiply
    145.94x = 217.95 × 138.04
  4. Step 4: Simplify right side
    145.94x = 30,085.82
  5. Step 5: Solve for x
    x = 30,085.82/145.94
  6. Step 6: Final answer
    x = 206.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.