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Finding the Fourth Proportional to 145.35, 218.07 and 116.49

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Solution

The fourth proportional to 145.35, 218.07 and 116.49 is: 174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.35 : 218.07 = 116.49 : x
  2. Step 2: Convert to fraction form
    145.35/218.07 = 116.49/x
  3. Step 3: Cross multiply
    145.35x = 218.07 × 116.49
  4. Step 4: Simplify right side
    145.35x = 25,402.97
  5. Step 5: Solve for x
    x = 25,402.97/145.35
  6. Step 6: Final answer
    x = 174.77

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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.