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Finding the Fourth Proportional to 315.42, 473.06 and 96.00

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Solution

The fourth proportional to 315.42, 473.06 and 96.00 is: 143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 473.06 = 96.00 : x
  2. Step 2: Convert to fraction form
    315.42/473.06 = 96.00/x
  3. Step 3: Cross multiply
    315.42x = 473.06 × 96.00
  4. Step 4: Simplify right side
    315.42x = 45,412.23
  5. Step 5: Solve for x
    x = 45,412.23/315.42
  6. Step 6: Final answer
    x = 143.97

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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.