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Finding the Fourth Proportional to 210.96, 291.06 and 148.74

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Solution

The fourth proportional to 210.96, 291.06 and 148.74 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 291.06 = 148.74 : x
  2. Step 2: Convert to fraction form
    210.96/291.06 = 148.74/x
  3. Step 3: Cross multiply
    210.96x = 291.06 × 148.74
  4. Step 4: Simplify right side
    210.96x = 43,292.26
  5. Step 5: Solve for x
    x = 43,292.26/210.96
  6. Step 6: Final answer
    x = 205.22

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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.