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Finding the Fourth Proportional to 210.86, 290.95 and 117.59

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Solution

The fourth proportional to 210.86, 290.95 and 117.59 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.86 : 290.95 = 117.59 : x
  2. Step 2: Convert to fraction form
    210.86/290.95 = 117.59/x
  3. Step 3: Cross multiply
    210.86x = 290.95 × 117.59
  4. Step 4: Simplify right side
    210.86x = 34,212.81
  5. Step 5: Solve for x
    x = 34,212.81/210.86
  6. Step 6: Final answer
    x = 162.25

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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.