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Finding the Fourth Proportional to 315.10, 435 and 184.24

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Solution

The fourth proportional to 315.10, 435 and 184.24 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 435 = 184.24 : x
  2. Step 2: Convert to fraction form
    315.10/435 = 184.24/x
  3. Step 3: Cross multiply
    315.10x = 435 × 184.24
  4. Step 4: Simplify right side
    315.10x = 80,144.40
  5. Step 5: Solve for x
    x = 80,144.40/315.10
  6. Step 6: Final answer
    x = 254.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.