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Finding the Fourth Proportional to 253.09, 379.71 and 176.02

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Solution

The fourth proportional to 253.09, 379.71 and 176.02 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 379.71 = 176.02 : x
  2. Step 2: Convert to fraction form
    253.09/379.71 = 176.02/x
  3. Step 3: Cross multiply
    253.09x = 379.71 × 176.02
  4. Step 4: Simplify right side
    253.09x = 66,836.55
  5. Step 5: Solve for x
    x = 66,836.55/253.09
  6. Step 6: Final answer
    x = 264.08

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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.