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Finding the Fourth Proportional to 302.42, 417.33 and 178.10

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Solution

The fourth proportional to 302.42, 417.33 and 178.10 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 417.33 = 178.10 : x
  2. Step 2: Convert to fraction form
    302.42/417.33 = 178.10/x
  3. Step 3: Cross multiply
    302.42x = 417.33 × 178.10
  4. Step 4: Simplify right side
    302.42x = 74,326.47
  5. Step 5: Solve for x
    x = 74,326.47/302.42
  6. Step 6: Final answer
    x = 245.77

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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.