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Finding the Fourth Proportional to 175.58, 262.95 and 146.87

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Solution

The fourth proportional to 175.58, 262.95 and 146.87 is: 219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.58 : 262.95 = 146.87 : x
  2. Step 2: Convert to fraction form
    175.58/262.95 = 146.87/x
  3. Step 3: Cross multiply
    175.58x = 262.95 × 146.87
  4. Step 4: Simplify right side
    175.58x = 38,619.47
  5. Step 5: Solve for x
    x = 38,619.47/175.58
  6. Step 6: Final answer
    x = 219.95

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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.