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Finding the Fourth Proportional to 307.63, 424.54 and 176.66

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Solution

The fourth proportional to 307.63, 424.54 and 176.66 is: 243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.63 : 424.54 = 176.66 : x
  2. Step 2: Convert to fraction form
    307.63/424.54 = 176.66/x
  3. Step 3: Cross multiply
    307.63x = 424.54 × 176.66
  4. Step 4: Simplify right side
    307.63x = 74,999.24
  5. Step 5: Solve for x
    x = 74,999.24/307.63
  6. Step 6: Final answer
    x = 243.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.