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Finding the Fourth Proportional to 302.79, 417.73 and 178.40

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Solution

The fourth proportional to 302.79, 417.73 and 178.40 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.79 : 417.73 = 178.40 : x
  2. Step 2: Convert to fraction form
    302.79/417.73 = 178.40/x
  3. Step 3: Cross multiply
    302.79x = 417.73 × 178.40
  4. Step 4: Simplify right side
    302.79x = 74,524.47
  5. Step 5: Solve for x
    x = 74,524.47/302.79
  6. Step 6: Final answer
    x = 246.13

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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.