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Finding the Fourth Proportional to 210.36, 290.19 and 144.90

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Solution

The fourth proportional to 210.36, 290.19 and 144.90 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 290.19 = 144.90 : x
  2. Step 2: Convert to fraction form
    210.36/290.19 = 144.90/x
  3. Step 3: Cross multiply
    210.36x = 290.19 × 144.90
  4. Step 4: Simplify right side
    210.36x = 42,048.53
  5. Step 5: Solve for x
    x = 42,048.53/210.36
  6. Step 6: Final answer
    x = 199.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.