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Finding the Fourth Proportional to 145.88, 219.09 and 136.16

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Solution

The fourth proportional to 145.88, 219.09 and 136.16 is: 204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 219.09 = 136.16 : x
  2. Step 2: Convert to fraction form
    145.88/219.09 = 136.16/x
  3. Step 3: Cross multiply
    145.88x = 219.09 × 136.16
  4. Step 4: Simplify right side
    145.88x = 29,831.29
  5. Step 5: Solve for x
    x = 29,831.29/145.88
  6. Step 6: Final answer
    x = 204.49

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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.