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Finding the Fourth Proportional to 145.65, 217.20 and 137.13

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Solution

The fourth proportional to 145.65, 217.20 and 137.13 is: 204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.65 : 217.20 = 137.13 : x
  2. Step 2: Convert to fraction form
    145.65/217.20 = 137.13/x
  3. Step 3: Cross multiply
    145.65x = 217.20 × 137.13
  4. Step 4: Simplify right side
    145.65x = 29,784.64
  5. Step 5: Solve for x
    x = 29,784.64/145.65
  6. Step 6: Final answer
    x = 204.49

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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.