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Finding the Fourth Proportional to 295.30, 407.53 and 190.40

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Solution

The fourth proportional to 295.30, 407.53 and 190.40 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 407.53 = 190.40 : x
  2. Step 2: Convert to fraction form
    295.30/407.53 = 190.40/x
  3. Step 3: Cross multiply
    295.30x = 407.53 × 190.40
  4. Step 4: Simplify right side
    295.30x = 77,594.20
  5. Step 5: Solve for x
    x = 77,594.20/295.30
  6. Step 6: Final answer
    x = 262.77

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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.