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Finding the Fourth Proportional to 152.47, 210.16 and 117.64

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Solution

The fourth proportional to 152.47, 210.16 and 117.64 is: 162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.47 : 210.16 = 117.64 : x
  2. Step 2: Convert to fraction form
    152.47/210.16 = 117.64/x
  3. Step 3: Cross multiply
    152.47x = 210.16 × 117.64
  4. Step 4: Simplify right side
    152.47x = 24,723.22
  5. Step 5: Solve for x
    x = 24,723.22/152.47
  6. Step 6: Final answer
    x = 162.15

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