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Finding the Fourth Proportional to 210.59, 290.58 and 117.34

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Solution

The fourth proportional to 210.59, 290.58 and 117.34 is: 161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.59 : 290.58 = 117.34 : x
  2. Step 2: Convert to fraction form
    210.59/290.58 = 117.34/x
  3. Step 3: Cross multiply
    210.59x = 290.58 × 117.34
  4. Step 4: Simplify right side
    210.59x = 34,095.83
  5. Step 5: Solve for x
    x = 34,095.83/210.59
  6. Step 6: Final answer
    x = 161.90

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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.