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Finding the Fourth Proportional to 183.74, 253.41 and 152.69

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Solution

The fourth proportional to 183.74, 253.41 and 152.69 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.41 = 152.69 : x
  2. Step 2: Convert to fraction form
    183.74/253.41 = 152.69/x
  3. Step 3: Cross multiply
    183.74x = 253.41 × 152.69
  4. Step 4: Simplify right side
    183.74x = 38,693.17
  5. Step 5: Solve for x
    x = 38,693.17/183.74
  6. Step 6: Final answer
    x = 210.59

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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.