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Finding the Fourth Proportional to 145.62, 219.51 and 135.72

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Solution

The fourth proportional to 145.62, 219.51 and 135.72 is: 204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.62 : 219.51 = 135.72 : x
  2. Step 2: Convert to fraction form
    145.62/219.51 = 135.72/x
  3. Step 3: Cross multiply
    145.62x = 219.51 × 135.72
  4. Step 4: Simplify right side
    145.62x = 29,791.90
  5. Step 5: Solve for x
    x = 29,791.90/145.62
  6. Step 6: Final answer
    x = 204.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.