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Finding the Fourth Proportional to 175.52, 261.85 and 145.00

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Solution

The fourth proportional to 175.52, 261.85 and 145.00 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 261.85 = 145.00 : x
  2. Step 2: Convert to fraction form
    175.52/261.85 = 145.00/x
  3. Step 3: Cross multiply
    175.52x = 261.85 × 145.00
  4. Step 4: Simplify right side
    175.52x = 37,967.23
  5. Step 5: Solve for x
    x = 37,967.23/175.52
  6. Step 6: Final answer
    x = 216.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.