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Finding the Fourth Proportional to 302.63, 417.66 and 178.32

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Solution

The fourth proportional to 302.63, 417.66 and 178.32 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.63 : 417.66 = 178.32 : x
  2. Step 2: Convert to fraction form
    302.63/417.66 = 178.32/x
  3. Step 3: Cross multiply
    302.63x = 417.66 × 178.32
  4. Step 4: Simplify right side
    302.63x = 74,477.58
  5. Step 5: Solve for x
    x = 74,477.58/302.63
  6. Step 6: Final answer
    x = 246.10

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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.