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Finding the Fourth Proportional to 175.83, 264.03 and 123.98

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Solution

The fourth proportional to 175.83, 264.03 and 123.98 is: 186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 264.03 = 123.98 : x
  2. Step 2: Convert to fraction form
    175.83/264.03 = 123.98/x
  3. Step 3: Cross multiply
    175.83x = 264.03 × 123.98
  4. Step 4: Simplify right side
    175.83x = 32,733.12
  5. Step 5: Solve for x
    x = 32,733.12/175.83
  6. Step 6: Final answer
    x = 186.16

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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.