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Finding the Fourth Proportional to 303.65, 455.46 and 130.16

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Solution

The fourth proportional to 303.65, 455.46 and 130.16 is: 195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.65 : 455.46 = 130.16 : x
  2. Step 2: Convert to fraction form
    303.65/455.46 = 130.16/x
  3. Step 3: Cross multiply
    303.65x = 455.46 × 130.16
  4. Step 4: Simplify right side
    303.65x = 59,283.81
  5. Step 5: Solve for x
    x = 59,283.81/303.65
  6. Step 6: Final answer
    x = 195.24

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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.