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Finding the Fourth Proportional to 305.24, 420.94 and 207.10

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Solution

The fourth proportional to 305.24, 420.94 and 207.10 is: 285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 420.94 = 207.10 : x
  2. Step 2: Convert to fraction form
    305.24/420.94 = 207.10/x
  3. Step 3: Cross multiply
    305.24x = 420.94 × 207.10
  4. Step 4: Simplify right side
    305.24x = 87,176.67
  5. Step 5: Solve for x
    x = 87,176.67/305.24
  6. Step 6: Final answer
    x = 285.60

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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.