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Finding the Fourth Proportional to 435.36, 653.16 and 192.08

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Solution

The fourth proportional to 435.36, 653.16 and 192.08 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 653.16 = 192.08 : x
  2. Step 2: Convert to fraction form
    435.36/653.16 = 192.08/x
  3. Step 3: Cross multiply
    435.36x = 653.16 × 192.08
  4. Step 4: Simplify right side
    435.36x = 125,458.97
  5. Step 5: Solve for x
    x = 125,458.97/435.36
  6. Step 6: Final answer
    x = 288.17

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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.