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Finding the Fourth Proportional to 145.86, 217.68 and 136.26

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Solution

The fourth proportional to 145.86, 217.68 and 136.26 is: 203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 217.68 = 136.26 : x
  2. Step 2: Convert to fraction form
    145.86/217.68 = 136.26/x
  3. Step 3: Cross multiply
    145.86x = 217.68 × 136.26
  4. Step 4: Simplify right side
    145.86x = 29,661.08
  5. Step 5: Solve for x
    x = 29,661.08/145.86
  6. Step 6: Final answer
    x = 203.35

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