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Finding the Fourth Proportional to 145.69, 217.06 and 136.38

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Solution

The fourth proportional to 145.69, 217.06 and 136.38 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 217.06 = 136.38 : x
  2. Step 2: Convert to fraction form
    145.69/217.06 = 136.38/x
  3. Step 3: Cross multiply
    145.69x = 217.06 × 136.38
  4. Step 4: Simplify right side
    145.69x = 29,602.64
  5. Step 5: Solve for x
    x = 29,602.64/145.69
  6. Step 6: Final answer
    x = 203.19

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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.