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Finding the Fourth Proportional to 522.37, 783.75 and 157.19

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Solution

The fourth proportional to 522.37, 783.75 and 157.19 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.37 : 783.75 = 157.19 : x
  2. Step 2: Convert to fraction form
    522.37/783.75 = 157.19/x
  3. Step 3: Cross multiply
    522.37x = 783.75 × 157.19
  4. Step 4: Simplify right side
    522.37x = 123,197.66
  5. Step 5: Solve for x
    x = 123,197.66/522.37
  6. Step 6: Final answer
    x = 235.85

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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.