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Finding the Fourth Proportional to 306.61, 423.15 and 175.64

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Solution

The fourth proportional to 306.61, 423.15 and 175.64 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.61 : 423.15 = 175.64 : x
  2. Step 2: Convert to fraction form
    306.61/423.15 = 175.64/x
  3. Step 3: Cross multiply
    306.61x = 423.15 × 175.64
  4. Step 4: Simplify right side
    306.61x = 74,323.12
  5. Step 5: Solve for x
    x = 74,323.12/306.61
  6. Step 6: Final answer
    x = 242.40

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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.