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Finding the Fourth Proportional to 210.32, 315.56 and 102.16

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Solution

The fourth proportional to 210.32, 315.56 and 102.16 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 315.56 = 102.16 : x
  2. Step 2: Convert to fraction form
    210.32/315.56 = 102.16/x
  3. Step 3: Cross multiply
    210.32x = 315.56 × 102.16
  4. Step 4: Simplify right side
    210.32x = 32,237.61
  5. Step 5: Solve for x
    x = 32,237.61/210.32
  6. Step 6: Final answer
    x = 153.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.