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Finding the Fourth Proportional to 210.48, 290.42 and 136.86

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Solution

The fourth proportional to 210.48, 290.42 and 136.86 is: 188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.48 : 290.42 = 136.86 : x
  2. Step 2: Convert to fraction form
    210.48/290.42 = 136.86/x
  3. Step 3: Cross multiply
    210.48x = 290.42 × 136.86
  4. Step 4: Simplify right side
    210.48x = 39,746.88
  5. Step 5: Solve for x
    x = 39,746.88/210.48
  6. Step 6: Final answer
    x = 188.84

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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.