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Finding the Fourth Proportional to 301.50, 452.00 and 128.16

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Solution

The fourth proportional to 301.50, 452.00 and 128.16 is: 192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 452.00 = 128.16 : x
  2. Step 2: Convert to fraction form
    301.50/452.00 = 128.16/x
  3. Step 3: Cross multiply
    301.50x = 452.00 × 128.16
  4. Step 4: Simplify right side
    301.50x = 57,927.68
  5. Step 5: Solve for x
    x = 57,927.68/301.50
  6. Step 6: Final answer
    x = 192.13

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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.