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Finding the Fourth Proportional to 302, 416.74 and 177.64

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Solution

The fourth proportional to 302, 416.74 and 177.64 is: 245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 416.74 = 177.64 : x
  2. Step 2: Convert to fraction form
    302/416.74 = 177.64/x
  3. Step 3: Cross multiply
    302x = 416.74 × 177.64
  4. Step 4: Simplify right side
    302x = 74,029.69
  5. Step 5: Solve for x
    x = 74,029.69/302
  6. Step 6: Final answer
    x = 245.13

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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.