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Finding the Fourth Proportional to 260.04, 390.06 and 150.30

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Solution

The fourth proportional to 260.04, 390.06 and 150.30 is: 225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 390.06 = 150.30 : x
  2. Step 2: Convert to fraction form
    260.04/390.06 = 150.30/x
  3. Step 3: Cross multiply
    260.04x = 390.06 × 150.30
  4. Step 4: Simplify right side
    260.04x = 58,626.02
  5. Step 5: Solve for x
    x = 58,626.02/260.04
  6. Step 6: Final answer
    x = 225.45

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