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Finding the Fourth Proportional to 210.95, 291.14 and 137.14

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Solution

The fourth proportional to 210.95, 291.14 and 137.14 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.95 : 291.14 = 137.14 : x
  2. Step 2: Convert to fraction form
    210.95/291.14 = 137.14/x
  3. Step 3: Cross multiply
    210.95x = 291.14 × 137.14
  4. Step 4: Simplify right side
    210.95x = 39,928.45
  5. Step 5: Solve for x
    x = 39,928.45/210.95
  6. Step 6: Final answer
    x = 189.28

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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.