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Finding the Fourth Proportional to 525.41, 788.11 and 140.66

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Solution

The fourth proportional to 525.41, 788.11 and 140.66 is: 210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.41 : 788.11 = 140.66 : x
  2. Step 2: Convert to fraction form
    525.41/788.11 = 140.66/x
  3. Step 3: Cross multiply
    525.41x = 788.11 × 140.66
  4. Step 4: Simplify right side
    525.41x = 110,851.61
  5. Step 5: Solve for x
    x = 110,851.61/525.41
  6. Step 6: Final answer
    x = 210.98

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