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Finding the Fourth Proportional to 210.50, 290.63 and 136.94

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Solution

The fourth proportional to 210.50, 290.63 and 136.94 is: 189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 290.63 = 136.94 : x
  2. Step 2: Convert to fraction form
    210.50/290.63 = 136.94/x
  3. Step 3: Cross multiply
    210.50x = 290.63 × 136.94
  4. Step 4: Simplify right side
    210.50x = 39,797.82
  5. Step 5: Solve for x
    x = 39,797.82/210.50
  6. Step 6: Final answer
    x = 189.07

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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.