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Finding the Fourth Proportional to 249.51, 373.81 and 146.50

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Solution

The fourth proportional to 249.51, 373.81 and 146.50 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.51 : 373.81 = 146.50 : x
  2. Step 2: Convert to fraction form
    249.51/373.81 = 146.50/x
  3. Step 3: Cross multiply
    249.51x = 373.81 × 146.50
  4. Step 4: Simplify right side
    249.51x = 54,763.17
  5. Step 5: Solve for x
    x = 54,763.17/249.51
  6. Step 6: Final answer
    x = 219.48

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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.