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Finding the Fourth Proportional to 525.76, 788.96 and 201.16

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Solution

The fourth proportional to 525.76, 788.96 and 201.16 is: 301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.76 : 788.96 = 201.16 : x
  2. Step 2: Convert to fraction form
    525.76/788.96 = 201.16/x
  3. Step 3: Cross multiply
    525.76x = 788.96 × 201.16
  4. Step 4: Simplify right side
    525.76x = 158,707.19
  5. Step 5: Solve for x
    x = 158,707.19/525.76
  6. Step 6: Final answer
    x = 301.86

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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.