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Finding the Fourth Proportional to 203.13, 304.00 and 130.07

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Solution

The fourth proportional to 203.13, 304.00 and 130.07 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 304.00 = 130.07 : x
  2. Step 2: Convert to fraction form
    203.13/304.00 = 130.07/x
  3. Step 3: Cross multiply
    203.13x = 304.00 × 130.07
  4. Step 4: Simplify right side
    203.13x = 39,541.71
  5. Step 5: Solve for x
    x = 39,541.71/203.13
  6. Step 6: Final answer
    x = 194.66

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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.