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Finding the Fourth Proportional to 192.44, 265.74 and 175.16

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Solution

The fourth proportional to 192.44, 265.74 and 175.16 is: 241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.44 : 265.74 = 175.16 : x
  2. Step 2: Convert to fraction form
    192.44/265.74 = 175.16/x
  3. Step 3: Cross multiply
    192.44x = 265.74 × 175.16
  4. Step 4: Simplify right side
    192.44x = 46,547.02
  5. Step 5: Solve for x
    x = 46,547.02/192.44
  6. Step 6: Final answer
    x = 241.88

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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.