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Finding the Fourth Proportional to 175.56, 260.95 and 170.88

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Solution

The fourth proportional to 175.56, 260.95 and 170.88 is: 254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 260.95 = 170.88 : x
  2. Step 2: Convert to fraction form
    175.56/260.95 = 170.88/x
  3. Step 3: Cross multiply
    175.56x = 260.95 × 170.88
  4. Step 4: Simplify right side
    175.56x = 44,590.71
  5. Step 5: Solve for x
    x = 44,590.71/175.56
  6. Step 6: Final answer
    x = 254.00

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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.