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Finding the Fourth Proportional to 305, 457.45 and 122.35

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Solution

The fourth proportional to 305, 457.45 and 122.35 is: 183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 457.45 = 122.35 : x
  2. Step 2: Convert to fraction form
    305/457.45 = 122.35/x
  3. Step 3: Cross multiply
    305x = 457.45 × 122.35
  4. Step 4: Simplify right side
    305x = 55,969.01
  5. Step 5: Solve for x
    x = 55,969.01/305
  6. Step 6: Final answer
    x = 183.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.