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Finding the Fourth Proportional to 182.99, 273.93 and 101.59

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Solution

The fourth proportional to 182.99, 273.93 and 101.59 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.99 : 273.93 = 101.59 : x
  2. Step 2: Convert to fraction form
    182.99/273.93 = 101.59/x
  3. Step 3: Cross multiply
    182.99x = 273.93 × 101.59
  4. Step 4: Simplify right side
    182.99x = 27,828.55
  5. Step 5: Solve for x
    x = 27,828.55/182.99
  6. Step 6: Final answer
    x = 152.08

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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.