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Finding the Fourth Proportional to 231.15, 318.98 and 152.50

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Solution

The fourth proportional to 231.15, 318.98 and 152.50 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.15 : 318.98 = 152.50 : x
  2. Step 2: Convert to fraction form
    231.15/318.98 = 152.50/x
  3. Step 3: Cross multiply
    231.15x = 318.98 × 152.50
  4. Step 4: Simplify right side
    231.15x = 48,643.69
  5. Step 5: Solve for x
    x = 48,643.69/231.15
  6. Step 6: Final answer
    x = 210.45

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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.