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Finding the Fourth Proportional to 524.22, 786.25 and 177.52

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Solution

The fourth proportional to 524.22, 786.25 and 177.52 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 786.25 = 177.52 : x
  2. Step 2: Convert to fraction form
    524.22/786.25 = 177.52/x
  3. Step 3: Cross multiply
    524.22x = 786.25 × 177.52
  4. Step 4: Simplify right side
    524.22x = 139,574.21
  5. Step 5: Solve for x
    x = 139,574.21/524.22
  6. Step 6: Final answer
    x = 266.25

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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.