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Finding the Fourth Proportional to 525.42, 788.16 and 201.06

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Solution

The fourth proportional to 525.42, 788.16 and 201.06 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 788.16 = 201.06 : x
  2. Step 2: Convert to fraction form
    525.42/788.16 = 201.06/x
  3. Step 3: Cross multiply
    525.42x = 788.16 × 201.06
  4. Step 4: Simplify right side
    525.42x = 158,467.45
  5. Step 5: Solve for x
    x = 158,467.45/525.42
  6. Step 6: Final answer
    x = 301.60

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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.