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Finding the Fourth Proportional to 210.36, 315.54 and 176.04

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Solution

The fourth proportional to 210.36, 315.54 and 176.04 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 315.54 = 176.04 : x
  2. Step 2: Convert to fraction form
    210.36/315.54 = 176.04/x
  3. Step 3: Cross multiply
    210.36x = 315.54 × 176.04
  4. Step 4: Simplify right side
    210.36x = 55,547.66
  5. Step 5: Solve for x
    x = 55,547.66/210.36
  6. Step 6: Final answer
    x = 264.06

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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.