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Finding the Fourth Proportional to 302.12, 417 and 184.13

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Solution

The fourth proportional to 302.12, 417 and 184.13 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 417 = 184.13 : x
  2. Step 2: Convert to fraction form
    302.12/417 = 184.13/x
  3. Step 3: Cross multiply
    302.12x = 417 × 184.13
  4. Step 4: Simplify right side
    302.12x = 76,782.21
  5. Step 5: Solve for x
    x = 76,782.21/302.12
  6. Step 6: Final answer
    x = 254.14

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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.