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Finding the Fourth Proportional to 302.57, 417.53 and 164.57

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Solution

The fourth proportional to 302.57, 417.53 and 164.57 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.57 : 417.53 = 164.57 : x
  2. Step 2: Convert to fraction form
    302.57/417.53 = 164.57/x
  3. Step 3: Cross multiply
    302.57x = 417.53 × 164.57
  4. Step 4: Simplify right side
    302.57x = 68,712.91
  5. Step 5: Solve for x
    x = 68,712.91/302.57
  6. Step 6: Final answer
    x = 227.10

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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.