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Finding the Fourth Proportional to 210.87, 291.20 and 148.91

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Solution

The fourth proportional to 210.87, 291.20 and 148.91 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.87 : 291.20 = 148.91 : x
  2. Step 2: Convert to fraction form
    210.87/291.20 = 148.91/x
  3. Step 3: Cross multiply
    210.87x = 291.20 × 148.91
  4. Step 4: Simplify right side
    210.87x = 43,360.39
  5. Step 5: Solve for x
    x = 43,360.39/210.87
  6. Step 6: Final answer
    x = 205.63

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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.