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Finding the Fourth Proportional to 210.95, 291.12 and 117.69

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Solution

The fourth proportional to 210.95, 291.12 and 117.69 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.95 : 291.12 = 117.69 : x
  2. Step 2: Convert to fraction form
    210.95/291.12 = 117.69/x
  3. Step 3: Cross multiply
    210.95x = 291.12 × 117.69
  4. Step 4: Simplify right side
    210.95x = 34,259.87
  5. Step 5: Solve for x
    x = 34,259.87/210.95
  6. Step 6: Final answer
    x = 162.41

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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.