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Finding the Fourth Proportional to 149.48, 223.06 and 145.16

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Solution

The fourth proportional to 149.48, 223.06 and 145.16 is: 216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.48 : 223.06 = 145.16 : x
  2. Step 2: Convert to fraction form
    149.48/223.06 = 145.16/x
  3. Step 3: Cross multiply
    149.48x = 223.06 × 145.16
  4. Step 4: Simplify right side
    149.48x = 32,379.39
  5. Step 5: Solve for x
    x = 32,379.39/149.48
  6. Step 6: Final answer
    x = 216.61

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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.