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Finding the Fourth Proportional to 303.54, 455.10 and 130.08

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Solution

The fourth proportional to 303.54, 455.10 and 130.08 is: 195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 455.10 = 130.08 : x
  2. Step 2: Convert to fraction form
    303.54/455.10 = 130.08/x
  3. Step 3: Cross multiply
    303.54x = 455.10 × 130.08
  4. Step 4: Simplify right side
    303.54x = 59,199.41
  5. Step 5: Solve for x
    x = 59,199.41/303.54
  6. Step 6: Final answer
    x = 195.03

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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.