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Finding the Fourth Proportional to 295.40, 407.72 and 197.16

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Solution

The fourth proportional to 295.40, 407.72 and 197.16 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.40 : 407.72 = 197.16 : x
  2. Step 2: Convert to fraction form
    295.40/407.72 = 197.16/x
  3. Step 3: Cross multiply
    295.40x = 407.72 × 197.16
  4. Step 4: Simplify right side
    295.40x = 80,386.08
  5. Step 5: Solve for x
    x = 80,386.08/295.40
  6. Step 6: Final answer
    x = 272.13

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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.