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Finding the Fourth Proportional to 175.09, 262.64 and 102.00

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Solution

The fourth proportional to 175.09, 262.64 and 102.00 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.09 : 262.64 = 102.00 : x
  2. Step 2: Convert to fraction form
    175.09/262.64 = 102.00/x
  3. Step 3: Cross multiply
    175.09x = 262.64 × 102.00
  4. Step 4: Simplify right side
    175.09x = 26,790.10
  5. Step 5: Solve for x
    x = 26,790.10/175.09
  6. Step 6: Final answer
    x = 153.00

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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.