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Finding the Fourth Proportional to 302.48, 417.46 and 186.07

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Solution

The fourth proportional to 302.48, 417.46 and 186.07 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 417.46 = 186.07 : x
  2. Step 2: Convert to fraction form
    302.48/417.46 = 186.07/x
  3. Step 3: Cross multiply
    302.48x = 417.46 × 186.07
  4. Step 4: Simplify right side
    302.48x = 77,676.78
  5. Step 5: Solve for x
    x = 77,676.78/302.48
  6. Step 6: Final answer
    x = 256.80

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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.