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Finding the Fourth Proportional to 210.68, 315.58 and 102.36

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Solution

The fourth proportional to 210.68, 315.58 and 102.36 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 315.58 = 102.36 : x
  2. Step 2: Convert to fraction form
    210.68/315.58 = 102.36/x
  3. Step 3: Cross multiply
    210.68x = 315.58 × 102.36
  4. Step 4: Simplify right side
    210.68x = 32,302.77
  5. Step 5: Solve for x
    x = 32,302.77/210.68
  6. Step 6: Final answer
    x = 153.33

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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.