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Finding the Fourth Proportional to 182.04, 250.86 and 152.49

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Solution

The fourth proportional to 182.04, 250.86 and 152.49 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 250.86 = 152.49 : x
  2. Step 2: Convert to fraction form
    182.04/250.86 = 152.49/x
  3. Step 3: Cross multiply
    182.04x = 250.86 × 152.49
  4. Step 4: Simplify right side
    182.04x = 38,253.64
  5. Step 5: Solve for x
    x = 38,253.64/182.04
  6. Step 6: Final answer
    x = 210.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.