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Finding the Fourth Proportional to 523.83, 785.75 and 177.16

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Solution

The fourth proportional to 523.83, 785.75 and 177.16 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 785.75 = 177.16 : x
  2. Step 2: Convert to fraction form
    523.83/785.75 = 177.16/x
  3. Step 3: Cross multiply
    523.83x = 785.75 × 177.16
  4. Step 4: Simplify right side
    523.83x = 139,203.47
  5. Step 5: Solve for x
    x = 139,203.47/523.83
  6. Step 6: Final answer
    x = 265.74

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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.