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Finding the Fourth Proportional to 388.02, 582.14 and 128.08

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Solution

The fourth proportional to 388.02, 582.14 and 128.08 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.02 : 582.14 = 128.08 : x
  2. Step 2: Convert to fraction form
    388.02/582.14 = 128.08/x
  3. Step 3: Cross multiply
    388.02x = 582.14 × 128.08
  4. Step 4: Simplify right side
    388.02x = 74,560.82
  5. Step 5: Solve for x
    x = 74,560.82/388.02
  6. Step 6: Final answer
    x = 192.16

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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.