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Finding the Fourth Proportional to 302.60, 417.60 and 178.27

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Solution

The fourth proportional to 302.60, 417.60 and 178.27 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.60 : 417.60 = 178.27 : x
  2. Step 2: Convert to fraction form
    302.60/417.60 = 178.27/x
  3. Step 3: Cross multiply
    302.60x = 417.60 × 178.27
  4. Step 4: Simplify right side
    302.60x = 74,444.51
  5. Step 5: Solve for x
    x = 74,444.51/302.60
  6. Step 6: Final answer
    x = 246.01

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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.