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Finding the Fourth Proportional to 525.64, 788.40 and 140.92

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Solution

The fourth proportional to 525.64, 788.40 and 140.92 is: 211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.64 : 788.40 = 140.92 : x
  2. Step 2: Convert to fraction form
    525.64/788.40 = 140.92/x
  3. Step 3: Cross multiply
    525.64x = 788.40 × 140.92
  4. Step 4: Simplify right side
    525.64x = 111,101.33
  5. Step 5: Solve for x
    x = 111,101.33/525.64
  6. Step 6: Final answer
    x = 211.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.