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Finding the Fourth Proportional to 175, 241.50 and 96.32

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Solution

The fourth proportional to 175, 241.50 and 96.32 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175 : 241.50 = 96.32 : x
  2. Step 2: Convert to fraction form
    175/241.50 = 96.32/x
  3. Step 3: Cross multiply
    175x = 241.50 × 96.32
  4. Step 4: Simplify right side
    175x = 23,259.59
  5. Step 5: Solve for x
    x = 23,259.59/175
  6. Step 6: Final answer
    x = 132.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.