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Finding the Fourth Proportional to 306.79, 423.30 and 175.77

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Solution

The fourth proportional to 306.79, 423.30 and 175.77 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.79 : 423.30 = 175.77 : x
  2. Step 2: Convert to fraction form
    306.79/423.30 = 175.77/x
  3. Step 3: Cross multiply
    306.79x = 423.30 × 175.77
  4. Step 4: Simplify right side
    306.79x = 74,404.10
  5. Step 5: Solve for x
    x = 74,404.10/306.79
  6. Step 6: Final answer
    x = 242.53

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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.