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Finding the Fourth Proportional to 210.90, 291.09 and 148.84

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Solution

The fourth proportional to 210.90, 291.09 and 148.84 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 291.09 = 148.84 : x
  2. Step 2: Convert to fraction form
    210.90/291.09 = 148.84/x
  3. Step 3: Cross multiply
    210.90x = 291.09 × 148.84
  4. Step 4: Simplify right side
    210.90x = 43,325.67
  5. Step 5: Solve for x
    x = 43,325.67/210.90
  6. Step 6: Final answer
    x = 205.43

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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.