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Finding the Fourth Proportional to 315.61, 473.51 and 221.90

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Solution

The fourth proportional to 315.61, 473.51 and 221.90 is: 332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.61 : 473.51 = 221.90 : x
  2. Step 2: Convert to fraction form
    315.61/473.51 = 221.90/x
  3. Step 3: Cross multiply
    315.61x = 473.51 × 221.90
  4. Step 4: Simplify right side
    315.61x = 105,070.06
  5. Step 5: Solve for x
    x = 105,070.06/315.61
  6. Step 6: Final answer
    x = 332.91

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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.