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Finding the Fourth Proportional to 210.57, 290.46 and 135.86

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Solution

The fourth proportional to 210.57, 290.46 and 135.86 is: 187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 290.46 = 135.86 : x
  2. Step 2: Convert to fraction form
    210.57/290.46 = 135.86/x
  3. Step 3: Cross multiply
    210.57x = 290.46 × 135.86
  4. Step 4: Simplify right side
    210.57x = 39,461.02
  5. Step 5: Solve for x
    x = 39,461.02/210.57
  6. Step 6: Final answer
    x = 187.40

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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.