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Finding the Fourth Proportional to 388.19, 582.16 and 128.14

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Solution

The fourth proportional to 388.19, 582.16 and 128.14 is: 192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.19 : 582.16 = 128.14 : x
  2. Step 2: Convert to fraction form
    388.19/582.16 = 128.14/x
  3. Step 3: Cross multiply
    388.19x = 582.16 × 128.14
  4. Step 4: Simplify right side
    388.19x = 74,599.76
  5. Step 5: Solve for x
    x = 74,599.76/388.19
  6. Step 6: Final answer
    x = 192.17

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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.