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Finding the Fourth Proportional to 302.01, 416.65 and 177.63

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Solution

The fourth proportional to 302.01, 416.65 and 177.63 is: 245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.01 : 416.65 = 177.63 : x
  2. Step 2: Convert to fraction form
    302.01/416.65 = 177.63/x
  3. Step 3: Cross multiply
    302.01x = 416.65 × 177.63
  4. Step 4: Simplify right side
    302.01x = 74,009.54
  5. Step 5: Solve for x
    x = 74,009.54/302.01
  6. Step 6: Final answer
    x = 245.06

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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.