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Finding the Fourth Proportional to 302.61, 417.70 and 178.27

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Solution

The fourth proportional to 302.61, 417.70 and 178.27 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 417.70 = 178.27 : x
  2. Step 2: Convert to fraction form
    302.61/417.70 = 178.27/x
  3. Step 3: Cross multiply
    302.61x = 417.70 × 178.27
  4. Step 4: Simplify right side
    302.61x = 74,461.89
  5. Step 5: Solve for x
    x = 74,461.89/302.61
  6. Step 6: Final answer
    x = 246.07

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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.